Converting to 9 by 11 Format

Oct 13, 2025 by windailys.com 126 views

Introduction

Understanding the Problem The given problem involves converting a fraction into a different format. We are required to convert the fraction 4/7 for by 7/5 by 7 into a 9 by 11 format. This problem requires a deep understanding of fractions, multiplication, and division.

Breaking Down the Problem

To solve this problem, we need to break it down into smaller steps. The first step is to understand the given fraction 4/7 for by 7/5 by 7. This fraction can be written as (4/7) × (7/5) × (7/1).

Multiplying the Fractions

To multiply fractions, we multiply the numerators and denominators separately. In this case, we have:

(4/7) × (7/5) × (7/1) = (4 × 7 × 7) / (7 × 5 × 1)

Simplifying the Fraction

Now, we can simplify the fraction by canceling out common factors. In this case, we have:

(4 × 7 × 7) / (7 × 5 × 1) = (28 × 7) / (35 × 1)

Further Simplification

We can further simplify the fraction by canceling out common factors. In this case, we have:

(28 × 7) / (35 × 1) = (4 × 7) / (5 × 1)

Converting to 9 by 11 Format

Now, we need to convert the fraction (4 × 7) / (5 × 1) into a 9 by 11 format. To do this, we need to multiply the numerator and denominator by a number that will make the denominator a multiple of 11.

Finding the Multiplying Factor

To find the multiplying factor, we need to divide the denominator (5 × 1) by 11. In this case, we have:

(5 × 1) / 11 = 5/11

Multiplying the Fraction

Now, we can multiply the fraction (4 × 7) / (5 × 1) by 11/5 to get:

(4 × 7 × 11) / (5 × 1 × 5)

Simplifying the Fraction

Now, we can simplify the fraction by canceling out common factors. In this case, we have:

(4 × 7 × 11) / (5 × 1 × 5) = (308) / (25)

Converting to 9 by 11 Format

Now, we have the fraction (308) / (25) in the 9 by 11 format. However, we need to convert it to a decimal or a mixed number to make it easier to understand.

Converting to Decimal

To convert the fraction (308) / (25) to a decimal, we can divide the numerator by the denominator. In this case, we have:

308 ÷ 25 = 12.32

Conclusion

In conclusion, we have successfully converted the fraction 4/7 for by 7/5 by 7 into a 9 by 11 format. The final answer is 12.32.

Final Answer

The final answer is 12.32.

Frequently Asked Questions

Q: What is the given fraction?

A: The given fraction is 4/7 for by 7/5 by 7.

Q: How do we convert the fraction to a 9 by 11 format?

A: To convert the fraction to a 9 by 11 format, we need to multiply the numerator and denominator by a number that will make the denominator a multiple of 11.

Q: What is the final answer?

A: The final answer is 12.32.

Q: How do we simplify the fraction?

A: We can simplify the fraction by canceling out common factors.

Q: What is the multiplying factor?

A: The multiplying factor is 11/5.

Q: How do we convert the fraction to a decimal?

A: We can convert the fraction to a decimal by dividing the numerator by the denominator.

Introduction

In our previous article, we discussed how to convert the fraction 4/7 for by 7/5 by 7 into a 9 by 11 format. We broke down the problem into smaller steps and simplified the fraction to get the final answer of 12.32. In this article, we will answer some frequently asked questions related to the problem.

Q&A

Q: What is the given fraction?

A: The given fraction is 4/7 for by 7/5 by 7.

Q: How do we convert the fraction to a 9 by 11 format?

A: To convert the fraction to a 9 by 11 format, we need to multiply the numerator and denominator by a number that will make the denominator a multiple of 11.

Q: What is the multiplying factor?

A: The multiplying factor is 11/5.

Q: How do we simplify the fraction?

A: We can simplify the fraction by canceling out common factors.

Q: What is the final answer?

A: The final answer is 12.32.

Q: How do we convert the fraction to a decimal?

A: We can convert the fraction to a decimal by dividing the numerator by the denominator.

Q: What is the difference between a fraction and a decimal?

A: A fraction is a way of expressing a part of a whole, while a decimal is a way of expressing a number as a sum of powers of 10.

Q: How do we convert a fraction to a decimal?

A: We can convert a fraction to a decimal by dividing the numerator by the denominator.

Q: What is the importance of simplifying fractions?

A: Simplifying fractions is important because it makes it easier to compare and work with fractions.

Q: How do we compare fractions?

A: We can compare fractions by comparing their numerators and denominators.

Q: What is the difference between equivalent fractions and equivalent decimals?

A: Equivalent fractions are fractions that have the same value, while equivalent decimals are decimals that have the same value.

Q: How do we find equivalent fractions?

A: We can find equivalent fractions by multiplying the numerator and denominator by the same number.

Q: What is the importance of equivalent fractions?

A: Equivalent fractions are important because they make it easier to compare and work with fractions.

Q: How do we find equivalent decimals?

A: We can find equivalent decimals by dividing the numerator by the denominator.

Q: What is the difference between a mixed number and an improper fraction?

A: A mixed number is a number that is expressed as a combination of a whole number and a fraction, while an improper fraction is a fraction that has a larger numerator than denominator.

Q: How do we convert a mixed number to an improper fraction?

A: We can convert a mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

Q: What is the importance of converting mixed numbers to improper fractions?

A: Converting mixed numbers to improper fractions is important because it makes it easier to compare and work with fractions.

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of converting the fraction 4/7 for by 7/5 by 7 into a 9 by 11 format. We hope that this article has been helpful in clarifying any doubts that you may have had.

Final Answer

The final answer is 12.32.

Frequently Asked Questions

Q: What is the given fraction?

A: The given fraction is 4/7 for by 7/5 by 7.

Q: How do we convert the fraction to a 9 by 11 format?

A: To convert the fraction to a 9 by 11 format, we need to multiply the numerator and denominator by a number that will make the denominator a multiple of 11.

Q: What is the multiplying factor?

A: The multiplying factor is 11/5.

Q: How do we simplify the fraction?

A: We can simplify the fraction by canceling out common factors.

Q: What is the final answer?

A: The final answer is 12.32.

Q: How do we convert the fraction to a decimal?

A: We can convert the fraction to a decimal by dividing the numerator by the denominator.

Q: What is the difference between a fraction and a decimal?

A: A fraction is a way of expressing a part of a whole, while a decimal is a way of expressing a number as a sum of powers of 10.

Q: How do we convert a fraction to a decimal?

A: We can convert a fraction to a decimal by dividing the numerator by the denominator.

Q: What is the importance of simplifying fractions?

A: Simplifying fractions is important because it makes it easier to compare and work with fractions.

Q: How do we compare fractions?

A: We can compare fractions by comparing their numerators and denominators.

Q: What is the difference between equivalent fractions and equivalent decimals?

A: Equivalent fractions are fractions that have the same value, while equivalent decimals are decimals that have the same value.

Q: How do we find equivalent fractions?

A: We can find equivalent fractions by multiplying the numerator and denominator by the same number.

Q: What is the importance of equivalent fractions?

A: Equivalent fractions are important because they make it easier to compare and work with fractions.

Q: How do we find equivalent decimals?

A: We can find equivalent decimals by dividing the numerator by the denominator.

Q: What is the difference between a mixed number and an improper fraction?

A: A mixed number is a number that is expressed as a combination of a whole number and a fraction, while an improper fraction is a fraction that has a larger numerator than denominator.

Q: How do we convert a mixed number to an improper fraction?

A: We can convert a mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

Q: What is the importance of converting mixed numbers to improper fractions?

A: Converting mixed numbers to improper fractions is important because it makes it easier to compare and work with fractions.