Solve 1.5(22/15)+2=42

$$1.5 ( \frac { 22 } { 15 } ) + 2 = 42$$

Verify

Solution Steps

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}\times \frac{22}{15}+2=42$$

Multiply \frac{3}{2} times \frac{22}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 22}{2\times 15}+2=42$$

Do the multiplications in the fraction \frac{3\times 22}{2\times 15}.

$$\frac{66}{30}+2=42$$

Reduce the fraction \frac{66}{30} to lowest terms by extracting and canceling out 6.

$$\frac{11}{5}+2=42$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{11}{5}+\frac{10}{5}=42$$

Since \frac{11}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{11+10}{5}=42$$

Add 11 and 10 to get 21.

$$\frac{21}{5}=42$$

Convert 42 to fraction \frac{210}{5}.

$$\frac{21}{5}=\frac{210}{5}$$

Compare \frac{21}{5} and \frac{210}{5}.

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