Solve (33:77+70)*2-(6:2)*(21-14)=5

$$( 33 : 77 + 70 ) \times 2 - ( 6 : 2 ) \times ( 21 - 14 ) = 5$$

Verify

Solution Steps

Reduce the fraction \frac{33}{77} to lowest terms by extracting and canceling out 11.

$$\left(\frac{3}{7}+70\right)\times 2-\frac{6}{2}\left(21-14\right)=5$$

Convert 70 to fraction \frac{490}{7}.

$$\left(\frac{3}{7}+\frac{490}{7}\right)\times 2-\frac{6}{2}\left(21-14\right)=5$$

Since \frac{3}{7} and \frac{490}{7} have the same denominator, add them by adding their numerators.

$$\frac{3+490}{7}\times 2-\frac{6}{2}\left(21-14\right)=5$$

Add 3 and 490 to get 493.

$$\frac{493}{7}\times 2-\frac{6}{2}\left(21-14\right)=5$$

Express \frac{493}{7}\times 2 as a single fraction.

$$\frac{493\times 2}{7}-\frac{6}{2}\left(21-14\right)=5$$

Multiply 493 and 2 to get 986.

$$\frac{986}{7}-\frac{6}{2}\left(21-14\right)=5$$

Divide 6 by 2 to get 3.

$$\frac{986}{7}-3\left(21-14\right)=5$$

Subtract 14 from 21 to get 7.

$$\frac{986}{7}-3\times 7=5$$

Multiply 3 and 7 to get 21.

$$\frac{986}{7}-21=5$$

Convert 21 to fraction \frac{147}{7}.

$$\frac{986}{7}-\frac{147}{7}=5$$

Since \frac{986}{7} and \frac{147}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{986-147}{7}=5$$

Subtract 147 from 986 to get 839.

$$\frac{839}{7}=5$$

Convert 5 to fraction \frac{35}{7}.

$$\frac{839}{7}=\frac{35}{7}$$

Compare \frac{839}{7} and \frac{35}{7}.

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