Solve 10>-1434/7>2/15

$$10 > - 143 \frac { 4 } { 7 } > \frac { 2 } { 15 }$$

Verify

Solution Steps

Multiply 143 and 7 to get 1001.

$$10>-\frac{1001+4}{7}\text{ and }-\frac{143\times 7+4}{7}>\frac{2}{15}$$

Add 1001 and 4 to get 1005.

$$10>-\frac{1005}{7}\text{ and }-\frac{143\times 7+4}{7}>\frac{2}{15}$$

Convert 10 to fraction \frac{70}{7}.

$$\frac{70}{7}>-\frac{1005}{7}\text{ and }-\frac{143\times 7+4}{7}>\frac{2}{15}$$

Compare \frac{70}{7} and -\frac{1005}{7}.

$$\text{true}\text{ and }-\frac{143\times 7+4}{7}>\frac{2}{15}$$

Multiply 143 and 7 to get 1001.

$$\text{true}\text{ and }-\frac{1001+4}{7}>\frac{2}{15}$$

Add 1001 and 4 to get 1005.

$$\text{true}\text{ and }-\frac{1005}{7}>\frac{2}{15}$$

Least common multiple of 7 and 15 is 105. Convert -\frac{1005}{7} and \frac{2}{15} to fractions with denominator 105.

$$\text{true}\text{ and }-\frac{15075}{105}>\frac{14}{105}$$

Compare -\frac{15075}{105} and \frac{14}{105}.

$$\text{true}\text{ and }\text{false}$$

The conjunction of \text{true} and \text{false} is \text{false}.

$$\text{false}$$