Solve 21*(1-5/9)=91/4

$$21 \times ( 1 - \frac { 5 } { 9 } ) = 9 \frac { 1 } { 4 }$$

Verify

Solution Steps

Multiply both sides of the equation by 36, the least common multiple of 9,4.

$$756\left(1-\frac{5}{9}\right)=9\left(9\times 4+1\right)$$

Convert 1 to fraction \frac{9}{9}.

$$756\left(\frac{9}{9}-\frac{5}{9}\right)=9\left(9\times 4+1\right)$$

Since \frac{9}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$756\times \frac{9-5}{9}=9\left(9\times 4+1\right)$$

Subtract 5 from 9 to get 4.

$$756\times \frac{4}{9}=9\left(9\times 4+1\right)$$

Express 756\times \frac{4}{9} as a single fraction.

$$\frac{756\times 4}{9}=9\left(9\times 4+1\right)$$

Multiply 756 and 4 to get 3024.

$$\frac{3024}{9}=9\left(9\times 4+1\right)$$

Divide 3024 by 9 to get 336.

$$336=9\left(9\times 4+1\right)$$

Multiply 9 and 4 to get 36.

$$336=9\left(36+1\right)$$

Add 36 and 1 to get 37.

$$336=9\times 37$$

Multiply 9 and 37 to get 333.

$$336=333$$

Compare 336 and 333.

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