Question

b. $\frac{1}{4} + \frac{9}{8} =$
d. $\frac{4}{9} + \frac{4}{7} =$
f. $\frac{3}{4} + \frac{5}{6} =$

Explanation:

Step1: Find common denominator (b)

Convert $\frac{1}{4}$ to $\frac{2}{8}$

Step2: Add fractions (b)

$\frac{2}{8} + \frac{9}{8} = \frac{2+9}{8}$

Step3: Find common denominator (d)

Convert $\frac{4}{9}$ to $\frac{28}{63}$, $\frac{4}{7}$ to $\frac{36}{63}$

Step4: Add fractions (d)

$\frac{28}{63} + \frac{36}{63} = \frac{28+36}{63}$

Step5: Find common denominator (f)

Convert $\frac{3}{4}$ to $\frac{9}{12}$, $\frac{5}{6}$ to $\frac{10}{12}$

Step6: Add fractions (f)

$\frac{9}{12} + \frac{10}{12} = \frac{9+10}{12}$

Answer:

b. $\frac{11}{8}$
d. $\frac{64}{63}$
f. $\frac{19}{12}$