Question

You have $\frac{3}{4}m$ of fabric. How many $\frac{1}{8}m$ pieces of fabric can you cut?

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is D 6

$\text{Total length of a fabric}=\frac{3}{4}m$

$\text{Length of a required piece}=\frac{1}{8}m$

$\text{Number of pieces}=\frac{3}{4}÷\frac{1}{8}$

Step 1: To divide the fractions: Rewrite a second fraction into its reciprocal by changing a division sign to a multiplication sign.

$=\frac{3}{4}\times \frac{8}{1}$

Step 2: Multiply the top numbers and multiply the bottom numbers

$=\frac{3\times 8}{4\times 1}$

$=\frac{24}{4}$

Step 3: Now, simplify the fraction

$=\frac{24}{4}=6$

Hence, 6 pieces of fabric can be cut.