Question

1. $1\frac{1}{8}$
2. $\frac{1}{12}$
3. $\frac{7}{30}$
4. $\frac{1}{15}$
5. $4\frac{7}{11}$
6. $6\frac{1}{6}$

replace each $\bullet$ with $<$, $>$, or $=$ to make a true sentence.

1. $\frac{1}{8}$ $\bullet$ $0.12$
2. $\frac{2}{3}$ $\bullet$ $0.7$
3. $-2\frac{3}{10}$ $\bullet$ $-2.3$
4. $0.395$ $\bullet$ $\frac{2}{5}$
5. $0.1$ $\bullet$ $\frac{1}{11}$
6. $\frac{3}{5}$ $\bullet$ $\frac{3}{4}$

Explanation:

Question 19:

Step1: Convert fraction to decimal

Convert $\frac{1}{8}$ to decimal. $\frac{1}{8}=1\div8 = 0.125$.

Step2: Compare decimals

Compare $0.125$ and $0.12$. Since $0.125>0.12$, we have $\frac{1}{8}>0.12$.

Step1: Convert fraction to decimal

Convert $\frac{2}{3}$ to decimal. $\frac{2}{3}=2\div3\approx0.6667$.

Step2: Compare decimals

Compare $0.6667$ and $0.7$. Since $0.6667<0.7$, we have $\frac{2}{3}<0.7$.

Step1: Convert mixed number to decimal

Convert $-2\frac{3}{10}$ to decimal. $-2\frac{3}{10}=-2 - \frac{3}{10}=-2 - 0.3=-2.3$.

Step2: Compare decimals

Compare $-2.3$ and $-2.3$. Since they are equal, we have $-2\frac{3}{10}=-2.3$.

Answer:

$\boldsymbol{>}$

Question 20: