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.