Question

7 aiden bought two and three fourths yards of fabric. he used one and two fifths yards of fabric for a project. how much fabric does aiden have left?

Explanation:

Step1: Convert to improper fractions

$2\frac{3}{4} = \frac{2\times4 + 3}{4} = \frac{11}{4}$
$1\frac{2}{5} = \frac{1\times5 + 2}{5} = \frac{7}{5}$

Step2: Find common denominator

Common denominator of 4 and 5 is 20.
$\frac{11}{4} = \frac{11\times5}{4\times5} = \frac{55}{20}$
$\frac{7}{5} = \frac{7\times4}{5\times4} = \frac{28}{20}$

Step3: Subtract the fractions

$\frac{55}{20} - \frac{28}{20} = \frac{27}{20}$

Step4: Convert to mixed number

$\frac{27}{20} = 1\frac{7}{20}$

Answer:

$1\frac{7}{20}$ yards