Solve 2*3*5/7=2*3*5/100-2*3*5-1000

$$\frac { 2 \times 3 \times 5 } { 7 } = \frac { 2 \times 3 \times 5 } { 100 - 2 \times 3 \times 5 - 1000 }$$

Verify

Solution Steps

Multiply both sides of the equation by 7.

$$2\times 3\times 5=-\frac{7}{930}\times 2\times 3\times 5$$

Multiply 2 and 3 to get 6.

$$6\times 5=-\frac{7}{930}\times 2\times 3\times 5$$

Multiply 6 and 5 to get 30.

$$30=-\frac{7}{930}\times 2\times 3\times 5$$

Express -\frac{7}{930}\times 2 as a single fraction.

$$30=\frac{-7\times 2}{930}\times 3\times 5$$

Multiply -7 and 2 to get -14.

$$30=\frac{-14}{930}\times 3\times 5$$

Reduce the fraction \frac{-14}{930} to lowest terms by extracting and canceling out 2.

$$30=-\frac{7}{465}\times 3\times 5$$

Express -\frac{7}{465}\times 3 as a single fraction.

$$30=\frac{-7\times 3}{465}\times 5$$

Multiply -7 and 3 to get -21.

$$30=\frac{-21}{465}\times 5$$

Reduce the fraction \frac{-21}{465} to lowest terms by extracting and canceling out 3.

$$30=-\frac{7}{155}\times 5$$

Express -\frac{7}{155}\times 5 as a single fraction.

$$30=\frac{-7\times 5}{155}$$

Multiply -7 and 5 to get -35.

$$30=\frac{-35}{155}$$

Reduce the fraction \frac{-35}{155} to lowest terms by extracting and canceling out 5.

$$30=-\frac{7}{31}$$

Convert 30 to fraction \frac{930}{31}.

$$\frac{930}{31}=-\frac{7}{31}$$

Compare \frac{930}{31} and -\frac{7}{31}.

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