Solve 6/71/72/76/7=frac{1}{7}frac{2}{7}frac{5}{7}frac{8}{7}

$$\frac { 6 } { 7 } \frac { 1 } { 7 } \frac { 2 } { 7 } \frac { 6 } { 7 } = \frac { 1 } { 7 } \frac { 2 } { 7 } \frac { 5 } { 7 } \frac { 8 } { 7 }$$

Verify

Solution Steps

Cancel out \frac{1}{7}\times \frac{2}{7} on both sides.

$$\frac{6}{7}\times \frac{6}{7}=\frac{5}{7}\times \frac{8}{7}$$

Multiply \frac{6}{7} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 6}{7\times 7}=\frac{5}{7}\times \frac{8}{7}$$

Do the multiplications in the fraction \frac{6\times 6}{7\times 7}.

$$\frac{36}{49}=\frac{5}{7}\times \frac{8}{7}$$

Multiply \frac{5}{7} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36}{49}=\frac{5\times 8}{7\times 7}$$

Do the multiplications in the fraction \frac{5\times 8}{7\times 7}.

$$\frac{36}{49}=\frac{40}{49}$$

Compare \frac{36}{49} and \frac{40}{49}.

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