Question

unit fractions and mixed numbers
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
subtract. simplify the answer and write it as a mixed number. $5\frac{3}{8} - 2\frac{13}{20}$
$3\frac{11}{40}$
$7\frac{41}{40}$
$2\frac{29}{40}$
$3\frac{29}{40}$

Explanation:

Step1: Find common denominator

The denominators are 8 and 20. The least common denominator is 40.
Convert fractions:
$5\frac{3}{8} = 5\frac{3\times5}{8\times5} = 5\frac{15}{40}$
$2\frac{13}{20} = 2\frac{13\times2}{20\times2} = 2\frac{26}{40}$

Step2: Regroup first mixed number

Since $\frac{15}{40} < \frac{26}{40}$, borrow 1 from 5 (which is $\frac{40}{40}$):
$5\frac{15}{40} = 4 + 1 + \frac{15}{40} = 4\frac{55}{40}$

Step3: Subtract mixed numbers

Subtract whole numbers and fractions separately:
Whole numbers: $4 - 2 = 2$
Fractions: $\frac{55}{40} - \frac{26}{40} = \frac{29}{40}$
Combine: $2 + \frac{29}{40} = 2\frac{29}{40}$

Answer:

$2\frac{29}{40}$ (Option C)