Solve =1151/2:3/2=231/2*2/3=

$$= 115 \frac { 1 } { 2 } : \frac { 3 } { 2 } = \frac { 231 } { 2 } \times \frac { 2 } { 3 } =$$

Verify

Solution Steps

Divide \frac{115\times 2+1}{2} by \frac{3}{2} by multiplying \frac{115\times 2+1}{2} by the reciprocal of \frac{3}{2}.

$$\frac{\left(115\times 2+1\right)\times 2}{2\times 3}=\frac{231}{2}\times \frac{2}{3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1+2\times 115}{3}=\frac{231}{2}\times \frac{2}{3}$$

Multiply 2 and 115 to get 230.

$$\frac{1+230}{3}=\frac{231}{2}\times \frac{2}{3}$$

Add 1 and 230 to get 231.

$$\frac{231}{3}=\frac{231}{2}\times \frac{2}{3}$$

Divide 231 by 3 to get 77.

$$77=\frac{231}{2}\times \frac{2}{3}$$

Multiply \frac{231}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$77=\frac{231\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$77=\frac{231}{3}$$

Divide 231 by 3 to get 77.

$$77=77$$

Compare 77 and 77.

$$\text{true}$$