Solve 15/2*1.125*3=10/4*1.125-5

$$\frac { 15 } { 2 \cdot 1.125 \cdot 3 } = \frac { 10 } { 4 \cdot 1.125 - 5 }$$

Verify

Solution Steps

Multiply 2 and 1.125 to get 2.25.

$$\frac{15}{2.25\times 3}=\frac{10}{4\times 1.125-5}$$

Multiply 2.25 and 3 to get 6.75.

$$\frac{15}{6.75}=\frac{10}{4\times 1.125-5}$$

Expand \frac{15}{6.75} by multiplying both numerator and the denominator by 100.

$$\frac{1500}{675}=\frac{10}{4\times 1.125-5}$$

Reduce the fraction \frac{1500}{675} to lowest terms by extracting and canceling out 75.

$$\frac{20}{9}=\frac{10}{4\times 1.125-5}$$

Multiply 4 and 1.125 to get 4.5.

$$\frac{20}{9}=\frac{10}{4.5-5}$$

Subtract 5 from 4.5 to get -0.5.

$$\frac{20}{9}=\frac{10}{-0.5}$$

Expand \frac{10}{-0.5} by multiplying both numerator and the denominator by 10.

$$\frac{20}{9}=\frac{100}{-5}$$

Divide 100 by -5 to get -20.

$$\frac{20}{9}=-20$$

Convert -20 to fraction -\frac{180}{9}.

$$\frac{20}{9}=-\frac{180}{9}$$

Compare \frac{20}{9} and -\frac{180}{9}.

$$\text{false}$$