What is the result of 4/5 divided by 7/10?

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Multiple Choice

What is the result of 4/5 divided by 7/10?

To find the result of dividing two fractions, you can multiply the first fraction by the reciprocal of the second fraction. Here, you have 4/5 divided by 7/10. To proceed, first identify the reciprocal of 7/10, which is 10/7. Now, multiply 4/5 by 10/7: (4/5) × (10/7) = (4 × 10) / (5 × 7) = 40 / 35. Now, simplify the fraction. Both the numerator and the denominator can be divided by 5: 40 ÷ 5 = 8, and 35 ÷ 5 = 7, giving us 8/7. Next, convert 8/7 into a mixed number. Since 8 divided by 7 is 1 with a remainder of 1, you can express this as: 1 1/7. Therefore, the result of 4/5 divided by 7/10 is indeed 1 1/7, confirming that this choice is the correct answer.

To find the result of dividing two fractions, you can multiply the first fraction by the reciprocal of the second fraction. Here, you have 4/5 divided by 7/10. To proceed, first identify the reciprocal of 7/10, which is 10/7.

Now, multiply 4/5 by 10/7:

(4/5) × (10/7) = (4 × 10) / (5 × 7) = 40 / 35.

Now, simplify the fraction. Both the numerator and the denominator can be divided by 5:

40 ÷ 5 = 8, and 35 ÷ 5 = 7, giving us 8/7.

Next, convert 8/7 into a mixed number. Since 8 divided by 7 is 1 with a remainder of 1, you can express this as:

1 1/7.

Therefore, the result of 4/5 divided by 7/10 is indeed 1 1/7, confirming that this choice is the correct answer.

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