Question

1. what is the difference?

$4\frac{2}{6}-2\frac{10}{12}=$?
a. $\frac{8}{6}$
b. $1\frac{6}{12}$
c. $2\frac{6}{12}$
d. $2\frac{8}{6}$

Explanation:

Step1: Convert to common denominator

First, rewrite mixed numbers with denominator 12:
$4\frac{2}{6} = 4\frac{4}{12}$, $2\frac{10}{12}$ stays as is.

Step2: Regroup first mixed number

Since $\frac{4}{12} < \frac{10}{12}$, borrow 1 from 4:
$4\frac{4}{12} = 3 + 1 + \frac{4}{12} = 3\frac{16}{12}$

Step3: Subtract whole & fractional parts

Subtract whole numbers: $3 - 2 = 1$
Subtract fractions: $\frac{16}{12} - \frac{10}{12} = \frac{6}{12}$
Combine: $1 + \frac{6}{12} = 1\frac{6}{12}$

Answer:

B. $1\frac{6}{12}$