Solve 2*57,75/11*frac{7{12}}=18

$$\frac { 2 \cdot 57,75 } { 11 \cdot \frac { 7 } { 12 } } = 18$$

Verify

Solution Steps

Multiply 2 and 57,75 to get 115,5.

$$\frac{115,5}{11\times \frac{7}{12}}=18$$

Express 11\times \frac{7}{12} as a single fraction.

$$\frac{115,5}{\frac{11\times 7}{12}}=18$$

Multiply 11 and 7 to get 77.

$$\frac{115,5}{\frac{77}{12}}=18$$

Divide 115,5 by \frac{77}{12} by multiplying 115,5 by the reciprocal of \frac{77}{12}.

$$115,5\times \frac{12}{77}=18$$

Convert decimal number 115,5 to fraction \frac{1155}{10}. Reduce the fraction \frac{1155}{10} to lowest terms by extracting and canceling out 5.

$$\frac{231}{2}\times \frac{12}{77}=18$$

Multiply \frac{231}{2} times \frac{12}{77} by multiplying numerator times numerator and denominator times denominator.

$$\frac{231\times 12}{2\times 77}=18$$

Do the multiplications in the fraction \frac{231\times 12}{2\times 77}.

$$\frac{2772}{154}=18$$

Divide 2772 by 154 to get 18.

$$18=18$$

Compare 18 and 18.

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