Solve 37/15div11/12-38/15=52/15*frac{124}{13}=

$$3 \frac { 7 } { 15 } \div 1 \frac { 1 } { 12 } - 3 \frac { 8 } { 15 } = \frac { 52 } { 15 } \times \frac { 124 } { 13 } =$$

Verify

Solution Steps

Multiply both sides of the equation by 195, the least common multiple of 15,13.

$$180\times \frac{3\times 15+7}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Multiply 3 and 15 to get 45.

$$180\times \frac{45+7}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Add 45 and 7 to get 52.

$$180\times \frac{52}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Express 180\times \frac{52}{15} as a single fraction.

$$\frac{180\times 52}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Multiply 180 and 52 to get 9360.

$$\frac{9360}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Divide 9360 by 15 to get 624.

$$624-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Multiply 3 and 15 to get 45.

$$624-13\left(45+8\right)=676\times \frac{124}{13}$$

Add 45 and 8 to get 53.

$$624-13\times 53=676\times \frac{124}{13}$$

Multiply -13 and 53 to get -689.

$$624-689=676\times \frac{124}{13}$$

Subtract 689 from 624 to get -65.

$$-65=676\times \frac{124}{13}$$

Express 676\times \frac{124}{13} as a single fraction.

$$-65=\frac{676\times 124}{13}$$

Multiply 676 and 124 to get 83824.

$$-65=\frac{83824}{13}$$

Divide 83824 by 13 to get 6448.

$$-65=6448$$

Compare -65 and 6448.

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