Solve 5*6/13(3*6/13)=6-5*6/13+2*6/13

$$5 \cdot \frac { 6 } { 13 } ( 3 \cdot \frac { 6 } { 13 } ) = 6 - 5 \cdot \frac { 6 } { 13 } + 2 \cdot \frac { 6 } { 13 }$$

Verify

Solution Steps

Express 5\times \frac{6}{13} as a single fraction.

$$\frac{5\times 6}{13}\times 3\times \frac{6}{13}=6-5\times \frac{6}{13}+2\times \frac{6}{13}$$

Multiply 5 and 6 to get 30.

$$\frac{30}{13}\times 3\times \frac{6}{13}=6-5\times \frac{6}{13}+2\times \frac{6}{13}$$

Express \frac{30}{13}\times 3 as a single fraction.

$$\frac{30\times 3}{13}\times \frac{6}{13}=6-5\times \frac{6}{13}+2\times \frac{6}{13}$$

Multiply 30 and 3 to get 90.

$$\frac{90}{13}\times \frac{6}{13}=6-5\times \frac{6}{13}+2\times \frac{6}{13}$$

Multiply \frac{90}{13} times \frac{6}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{90\times 6}{13\times 13}=6-5\times \frac{6}{13}+2\times \frac{6}{13}$$

Do the multiplications in the fraction \frac{90\times 6}{13\times 13}.

$$\frac{540}{169}=6-5\times \frac{6}{13}+2\times \frac{6}{13}$$

Express 5\times \frac{6}{13} as a single fraction.

$$\frac{540}{169}=6-\frac{5\times 6}{13}+2\times \frac{6}{13}$$

Multiply 5 and 6 to get 30.

$$\frac{540}{169}=6-\frac{30}{13}+2\times \frac{6}{13}$$

Convert 6 to fraction \frac{78}{13}.

$$\frac{540}{169}=\frac{78}{13}-\frac{30}{13}+2\times \frac{6}{13}$$

Since \frac{78}{13} and \frac{30}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{540}{169}=\frac{78-30}{13}+2\times \frac{6}{13}$$

Subtract 30 from 78 to get 48.

$$\frac{540}{169}=\frac{48}{13}+2\times \frac{6}{13}$$

Express 2\times \frac{6}{13} as a single fraction.

$$\frac{540}{169}=\frac{48}{13}+\frac{2\times 6}{13}$$

Multiply 2 and 6 to get 12.

$$\frac{540}{169}=\frac{48}{13}+\frac{12}{13}$$

Since \frac{48}{13} and \frac{12}{13} have the same denominator, add them by adding their numerators.

$$\frac{540}{169}=\frac{48+12}{13}$$

Add 48 and 12 to get 60.

$$\frac{540}{169}=\frac{60}{13}$$

Least common multiple of 169 and 13 is 169. Convert \frac{540}{169} and \frac{60}{13} to fractions with denominator 169.

$$\frac{540}{169}=\frac{780}{169}$$

Compare \frac{540}{169} and \frac{780}{169}.

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