Question

question 52 of 60
add. write your answer as a mixed number in simplest form.
\\( 7\frac{1}{4} + 1\frac{2}{5} \\)

question 53 of 60
subtract. write your answer as a mixed number in simplest form.
\\( 5 - 3\frac{6}{7} \\)

question 54 of 60
multiply. write your answer as a mixed number in simplest form.
\\( 5 \times 3\frac{2}{3} \\)

question 55 of 60
add. write your answer as a mixed number in simplest form.
\\( 6\frac{7}{10} + 5\frac{9}{10} \\)

question 56 of 60
simplify.
\\( \frac{\frac{4}{9}}{2} \\)

Explanation:

Question 52:

Step1: Convert mixed numbers to improper fractions

\(7\frac{1}{4}=\frac{7\times4 + 1}{4}=\frac{29}{4}\), \(1\frac{2}{5}=\frac{1\times5+2}{5}=\frac{7}{5}\)

Step2: Find a common denominator (20) and add

\(\frac{29}{4}+\frac{7}{5}=\frac{29\times5}{4\times5}+\frac{7\times4}{5\times4}=\frac{145}{20}+\frac{28}{20}=\frac{173}{20}\)

Step3: Convert back to a mixed number

\(\frac{173}{20}=8\frac{13}{20}\)

Step1: Rewrite 5 as a mixed number with denominator 7

\(5 = 4\frac{7}{7}\)

Step2: Subtract the mixed numbers

\(4\frac{7}{7}-3\frac{6}{7}=(4 - 3)+\frac{7 - 6}{7}=1\frac{1}{7}\)

Step1: Convert the mixed number to an improper fraction

\(3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}\)

Step2: Multiply by 5

\(5\times\frac{11}{3}=\frac{55}{3}\)

Step3: Convert back to a mixed number

\(\frac{55}{3}=18\frac{1}{3}\)

Answer:

\(8\frac{13}{20}\)

Question 53: