Answer:
Explanation:
To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction.
The expression 2/5 divided by 1/7/8 can be rewritten as:
2/5 ÷ 1/(7/8)
To divide by 1/(7/8), we take the reciprocal of 1/(7/8), which is 8/7.
Therefore, the expression can be simplified as:
2/5 × 8/7
To multiply fractions, we multiply the numerators together and the denominators together:
(2 × 8) / (5 × 7)
Simplifying the numerator and denominator:
16 / 35
Therefore, 2/5 divided by 1/7/8 is equal to 16/35.