Solve 8/9+1/3*5/6=8/9+frac{5}{18}

$$\frac { 8 } { 9 } + \frac { 1 } { 3 } \cdot \frac { 5 } { 6 } = \frac { 8 } { 9 } + \frac { 5 } { 18 }$$

Verify

Solution Steps

Multiply \frac{1}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{9}+\frac{1\times 5}{3\times 6}=\frac{8}{9}+\frac{5}{18}$$

Do the multiplications in the fraction \frac{1\times 5}{3\times 6}.

$$\frac{8}{9}+\frac{5}{18}=\frac{8}{9}+\frac{5}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{8}{9} and \frac{5}{18} to fractions with denominator 18.

$$\frac{16}{18}+\frac{5}{18}=\frac{8}{9}+\frac{5}{18}$$

Since \frac{16}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{18}=\frac{8}{9}+\frac{5}{18}$$

Add 16 and 5 to get 21.

$$\frac{21}{18}=\frac{8}{9}+\frac{5}{18}$$

Reduce the fraction \frac{21}{18} to lowest terms by extracting and canceling out 3.

$$\frac{7}{6}=\frac{8}{9}+\frac{5}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{8}{9} and \frac{5}{18} to fractions with denominator 18.

$$\frac{7}{6}=\frac{16}{18}+\frac{5}{18}$$

Since \frac{16}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.

$$\frac{7}{6}=\frac{16+5}{18}$$

Add 16 and 5 to get 21.

$$\frac{7}{6}=\frac{21}{18}$$

Reduce the fraction \frac{21}{18} to lowest terms by extracting and canceling out 3.

$$\frac{7}{6}=\frac{7}{6}$$

Compare \frac{7}{6} and \frac{7}{6}.

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