Solve (3/7*5/6)*12/13=21/2

$$( \frac { 3 } { 7 } \times \frac { 5 } { 6 } ) \cdot 1 \frac { 2 } { 13 } = 2 \frac { 1 } { 2 }$$

Verify

Solution Steps

Multiply both sides of the equation by 546, the least common multiple of 7,6,13,2.

$$18\times \frac{5}{6}\left(1\times 13+2\right)=273\left(2\times 2+1\right)$$

Express 18\times \frac{5}{6} as a single fraction.

$$\frac{18\times 5}{6}\left(1\times 13+2\right)=273\left(2\times 2+1\right)$$

Multiply 18 and 5 to get 90.

$$\frac{90}{6}\left(1\times 13+2\right)=273\left(2\times 2+1\right)$$

Divide 90 by 6 to get 15.

$$15\left(1\times 13+2\right)=273\left(2\times 2+1\right)$$

Multiply 1 and 13 to get 13.

$$15\left(13+2\right)=273\left(2\times 2+1\right)$$

Add 13 and 2 to get 15.

$$15\times 15=273\left(2\times 2+1\right)$$

Multiply 15 and 15 to get 225.

$$225=273\left(2\times 2+1\right)$$

Multiply 2 and 2 to get 4.

$$225=273\left(4+1\right)$$

Add 4 and 1 to get 5.

$$225=273\times 5$$

Multiply 273 and 5 to get 1365.

$$225=1365$$

Compare 225 and 1365.

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