Question

ons, circle the greater fraction.
b $\frac{5}{6}$, $\frac{2}{3}$
d $\frac{5}{7}$, $\frac{11}{14}$
f $\frac{3}{4}$, $\frac{9}{16}$
h $\frac{5}{8}$, $\frac{5}{6}$

Explanation:

b. Comparing $\frac{5}{6}$ and $\frac{2}{3}$

Step1: Make common denominator

Find a common - denominator for $\frac{5}{6}$ and $\frac{2}{3}$. The least common multiple of 6 and 3 is 6. Since $\frac{2}{3}=\frac{2\times2}{3\times2}=\frac{4}{6}$, and $\frac{5}{6}>\frac{4}{6}$, so $\frac{5}{6}$ is the greater fraction.

d. Comparing $\frac{5}{7}$ and $\frac{11}{14}$

Step1: Make common denominator

The least common multiple of 7 and 14 is 14. Rewrite $\frac{5}{7}$ as $\frac{5\times2}{7\times2}=\frac{10}{14}$. Since $\frac{10}{14}<\frac{11}{14}$, so $\frac{11}{14}$ is the greater fraction.

f. Comparing $\frac{3}{4}$ and $\frac{9}{16}$

Step1: Make common denominator

The least common multiple of 4 and 16 is 16. Rewrite $\frac{3}{4}$ as $\frac{3\times4}{4\times4}=\frac{12}{16}$. Since $\frac{12}{16}>\frac{9}{16}$, so $\frac{3}{4}$ is the greater fraction.

h. Comparing $\frac{5}{8}$ and $\frac{5}{6}$

Step1: Make common denominator

The least common multiple of 8 and 6 is 24. Rewrite $\frac{5}{8}$ as $\frac{5\times3}{8\times3}=\frac{15}{24}$ and $\frac{5}{6}$ as $\frac{5\times4}{6\times4}=\frac{20}{24}$. Since $\frac{15}{24}<\frac{20}{24}$, so $\frac{5}{6}$ is the greater fraction.

Answer:

b. $\frac{5}{6}$
d. $\frac{11}{14}$
f. $\frac{3}{4}$
h. $\frac{5}{6}$