Question

evaluate the expression below. submit your answer as a mixed number or as an improper fraction.
$7\frac{1}{4} - 1\frac{3}{4}$
show your work here

Explanation:

Step1: Convert to improper fractions

$7\frac{1}{4} = \frac{7\times4 + 1}{4} = \frac{29}{4}$, $1\frac{3}{4} = \frac{1\times4 + 3}{4} = \frac{7}{4}$

Step2: Subtract the fractions

$\frac{29}{4} - \frac{7}{4} = \frac{29 - 7}{4} = \frac{22}{4}$

Step3: Simplify the fraction

$\frac{22}{4} = \frac{11}{2}$

Step4: Convert to mixed number (optional)

$\frac{11}{2} = 5\frac{1}{2}$

Answer:

$\frac{11}{2}$ or $5\frac{1}{2}$