Solve 15+1816/16+12+12=24/24+32

$$15 + 18 \frac { 16 } { 16 + 12 } + 12 = \frac { 24 } { 24 + 32 }$$

Verify

Solution Steps

Add 16 and 12 to get 28.

$$15+18\times \frac{16}{28}+12=\frac{24}{24+32}$$

Reduce the fraction \frac{16}{28} to lowest terms by extracting and canceling out 4.

$$15+18\times \frac{4}{7}+12=\frac{24}{24+32}$$

Express 18\times \frac{4}{7} as a single fraction.

$$15+\frac{18\times 4}{7}+12=\frac{24}{24+32}$$

Multiply 18 and 4 to get 72.

$$15+\frac{72}{7}+12=\frac{24}{24+32}$$

Convert 15 to fraction \frac{105}{7}.

$$\frac{105}{7}+\frac{72}{7}+12=\frac{24}{24+32}$$

Since \frac{105}{7} and \frac{72}{7} have the same denominator, add them by adding their numerators.

$$\frac{105+72}{7}+12=\frac{24}{24+32}$$

Add 105 and 72 to get 177.

$$\frac{177}{7}+12=\frac{24}{24+32}$$

Convert 12 to fraction \frac{84}{7}.

$$\frac{177}{7}+\frac{84}{7}=\frac{24}{24+32}$$

Since \frac{177}{7} and \frac{84}{7} have the same denominator, add them by adding their numerators.

$$\frac{177+84}{7}=\frac{24}{24+32}$$

Add 177 and 84 to get 261.

$$\frac{261}{7}=\frac{24}{24+32}$$

Add 24 and 32 to get 56.

$$\frac{261}{7}=\frac{24}{56}$$

Reduce the fraction \frac{24}{56} to lowest terms by extracting and canceling out 8.

$$\frac{261}{7}=\frac{3}{7}$$

Compare \frac{261}{7} and \frac{3}{7}.

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