Question

Correct Answer for 5/8 ÷ 1/5:
a. 1 1/4
b. 2/5
c. 2 1/2
d. 3/8

Answer 1

To divide fractions invert the second fraction and multiply 5/8 ÷ 1/5 is equivalent to 5/8 * 5/1 simplifying to 2/5.

So. the correct option is B.

Step-by-step explanation:

In the realm of fraction division the process involves inverting the divisor and then multiplying the fractions. For the given expression 5/8 ÷ 1/5 we flip the second fraction turning the division operation into multiplication 5/8 * 5/1.

This multiplication results in the numerator of the first fraction 5 multiplied by the denominator of the second fraction 5 and the denominator of the first fraction 8 multiplied by the numerator of the second fraction 1. This yields 25/8.

To simplify the fraction we recognize that 25 and 8 share no common factors other than 1. Therefore the fraction remains 25/8. However expressing it in its simplest form we find that both the numerator and denominator are divisible by 5.

Dividing both by 5 results in 5/2 which further reduces to 2/5. Therefore the correct answer to the division of 5/8 by 1/5 is 2/5 represented in its most simplified form.

Fraction division is a foundational skill and understanding the underlying principles such as inverting and multiplying ensures accuracy in solving similar problems.

So. the correct option is B.

Answer 2

The correct result of 5/8 divided by 1/5 is 3 1/8. This is obtained by multiplying 5/8 by the reciprocal of 1/5, which is 5/1, resulting in 25/8. None of the given options match this correct answer.

Step-by-step explanation:

The question asks to calculate the result of the division of two fractions: 5/8 divided by 1/5.

To solve this, we must multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 1/5 is 5/1.

Multiplying 5/8 by 5/1, we get:

(5/8) × (5/1) = (5×5)/(8×1) = 25/8

To simplify this, we divide 25 by 8, which is 3 with a remainder of 1. Therefore, 25/8 is equivalent to 3 1/8.

However, this does not match any of the options given.

We need to correct the available options with the correctly calculated answer which is 3 1/8.