Question

question 47 of 60
multiply. write your answer as a mixed number in simplest form.
$2\frac{9}{10} \times 4$

question 48 of 60
subtract. write your answer as a mixed number in simplest form.
$5\frac{5}{11} - 3\frac{2}{11}$

question 49 of 60
subtract. write your answer as a mixed number in simplest form.
$4\frac{1}{4} - 1\frac{3}{4}$

question 50 of 60
subtract. write your answer as a mixed number in simplest form.
$3\frac{7}{8} - 2\frac{1}{2}$

question 51 of 60
add. write your answer as a mixed number in simplest form.
$7\frac{3}{7} + 2\frac{2}{7}$

Explanation:

Question 47

Step1: Convert mixed number to improper fraction

$2\frac{9}{10}=\frac{2\times10 + 9}{10}=\frac{29}{10}$

Step2: Multiply by 4

$\frac{29}{10}\times4=\frac{29\times4}{10}=\frac{116}{10}$

Step3: Simplify to mixed number

$\frac{116}{10}=11\frac{6}{10}=11\frac{3}{5}$

Step1: Subtract whole numbers and fractions separately

Whole numbers: $5 - 3 = 2$; Fractions: $\frac{5}{11}-\frac{2}{11}=\frac{3}{11}$

Step2: Combine results

$2+\frac{3}{11}=2\frac{3}{11}$

Step1: Subtract whole numbers and fractions separately

Whole numbers: $4 - 1 = 3$; Fractions: $\frac{1}{4}-\frac{3}{4}=\frac{-2}{4}$ (adjust whole number)

Step2: Adjust whole number and subtract fractions

$3 - 1 = 2$ (since $\frac{1}{4}-\frac{3}{4}$ needs borrowing, $4\frac{1}{4}=3\frac{5}{4}$), then $3\frac{5}{4}-1\frac{3}{4}=2\frac{2}{4}=2\frac{1}{2}$

Answer:

$11\frac{3}{5}$

Question 48