What is 7/8 ÷ 1/4?

Here's the step-by-step solution for 7/8 ÷ 1/4.

Answer:

7/8 ÷ 1/4 = ⁷/₂ or 3 ¹/₂

The answer is 7/2 or 3 1/2 as a mixed number (equals 3.5 as a decimal).

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

1. Flip the second fraction

To divide, multiply by the reciprocal of 1/4:

7/8 ÷ 1/4 = 7/8 × 4/1

2. Multiply

Now multiply:

(7 × 4) / (8 × 1) = 28/8

3. Simplify

Divide both by their GCD (4):

28/8 = 7/2