Solve 10*37/8=3070/8=386/8

$$10 \times 3 \frac { 7 } { 8 } = 30 \frac { 70 } { 8 } = 38 \frac { 6 } { 8 }$$

Verify

Solution Steps

Multiply 3 and 8 to get 24.

$$10\times \frac{24+7}{8}=\frac{30\times 8+70}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Add 24 and 7 to get 31.

$$10\times \frac{31}{8}=\frac{30\times 8+70}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Express 10\times \frac{31}{8} as a single fraction.

$$\frac{10\times 31}{8}=\frac{30\times 8+70}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Multiply 10 and 31 to get 310.

$$\frac{310}{8}=\frac{30\times 8+70}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Reduce the fraction \frac{310}{8} to lowest terms by extracting and canceling out 2.

$$\frac{155}{4}=\frac{30\times 8+70}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Multiply 30 and 8 to get 240.

$$\frac{155}{4}=\frac{240+70}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Add 240 and 70 to get 310.

$$\frac{155}{4}=\frac{310}{8}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Reduce the fraction \frac{310}{8} to lowest terms by extracting and canceling out 2.

$$\frac{155}{4}=\frac{155}{4}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Compare \frac{155}{4} and \frac{155}{4}.

$$\text{true}\text{ and }\frac{30\times 8+70}{8}=\frac{38\times 8+6}{8}$$

Multiply 30 and 8 to get 240.

$$\text{true}\text{ and }\frac{240+70}{8}=\frac{38\times 8+6}{8}$$

Add 240 and 70 to get 310.

$$\text{true}\text{ and }\frac{310}{8}=\frac{38\times 8+6}{8}$$

Reduce the fraction \frac{310}{8} to lowest terms by extracting and canceling out 2.

$$\text{true}\text{ and }\frac{155}{4}=\frac{38\times 8+6}{8}$$

Multiply 38 and 8 to get 304.

$$\text{true}\text{ and }\frac{155}{4}=\frac{304+6}{8}$$

Add 304 and 6 to get 310.

$$\text{true}\text{ and }\frac{155}{4}=\frac{310}{8}$$

Reduce the fraction \frac{310}{8} to lowest terms by extracting and canceling out 2.

$$\text{true}\text{ and }\frac{155}{4}=\frac{155}{4}$$

Compare \frac{155}{4} and \frac{155}{4}.

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

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

$$\text{true}$$