Question

e82b
add the fractions. show only the answer
(7) $4\frac{1}{10} + 3\frac{7}{12} =$
(8) $\frac{5}{9} + 3\frac{7}{15} =$
(9) $\frac{1}{6} + 2\frac{7}{16} =$
(10) $\frac{5}{6} + \frac{3}{20} =$
(11) $2\frac{5}{7} + \frac{10}{21} =$
(12) $4\frac{5}{6} + 3\frac{7}{24} =$

Explanation:

(7)

Step1: Separate whole and fractional parts

Whole parts: \(4 + 3 = 7\)
Fractional parts: \(\frac{1}{10}+\frac{7}{12}\)

Step2: Find common denominator (60)

\(\frac{1\times6}{10\times6}+\frac{7\times5}{12\times5}=\frac{6}{60}+\frac{35}{60}\)

Step3: Add fractional parts

\(\frac{6 + 35}{60}=\frac{41}{60}\)

Step4: Combine whole and fractional parts

\(7+\frac{41}{60}=7\frac{41}{60}\)

Step1: Separate whole and fractional parts

Whole part: \(3\)
Fractional parts: \(\frac{5}{9}+\frac{7}{15}\)

Step2: Find common denominator (45)

\(\frac{5\times5}{9\times5}+\frac{7\times3}{15\times3}=\frac{25}{45}+\frac{21}{45}\)

Step3: Add fractional parts

\(\frac{25 + 21}{45}=\frac{46}{45}=1\frac{1}{45}\)

Step4: Combine whole and fractional parts

\(3 + 1\frac{1}{45}=4\frac{1}{45}\)

Step1: Separate whole and fractional parts

Whole part: \(2\)
Fractional parts: \(\frac{1}{6}+\frac{7}{16}\)

Step2: Find common denominator (48)

\(\frac{1\times8}{6\times8}+\frac{7\times3}{16\times3}=\frac{8}{48}+\frac{21}{48}\)

Step3: Add fractional parts

\(\frac{8 + 21}{48}=\frac{29}{48}\)

Step4: Combine whole and fractional parts

\(2+\frac{29}{48}=2\frac{29}{48}\)

Answer:

\(7\frac{41}{60}\)

(8)