Solve 3/4(2+8)=1/3(2-12)=

$$\frac { 3 } { 4 } ( 2 + 8 ) = \frac { 1 } { 3 } ( 2 - 12 ) =$$

Verify

Solution Steps

Add 2 and 8 to get 10.

$$\frac{3}{4}\times 10=\frac{1}{3}\left(2-12\right)$$

Express \frac{3}{4}\times 10 as a single fraction.

$$\frac{3\times 10}{4}=\frac{1}{3}\left(2-12\right)$$

Multiply 3 and 10 to get 30.

$$\frac{30}{4}=\frac{1}{3}\left(2-12\right)$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}=\frac{1}{3}\left(2-12\right)$$

Subtract 12 from 2 to get -10.

$$\frac{15}{2}=\frac{1}{3}\left(-10\right)$$

Multiply \frac{1}{3} and -10 to get \frac{-10}{3}.

$$\frac{15}{2}=\frac{-10}{3}$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$\frac{15}{2}=-\frac{10}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{15}{2} and -\frac{10}{3} to fractions with denominator 6.

$$\frac{45}{6}=-\frac{20}{6}$$

Compare \frac{45}{6} and -\frac{20}{6}.

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