Solve 4/9+7/9div21/10=

$$\frac { 4 } { 9 } + \frac { 7 } { 9 } \div \frac { 21 } { 10 } =$$

Evaluate

$$\frac{22}{27}\approx 0.814814815$$

Solution Steps

Divide \frac{7}{9} by \frac{21}{10} by multiplying \frac{7}{9} by the reciprocal of \frac{21}{10}.

$$\frac{4}{9}+\frac{7}{9}\times \frac{10}{21}$$

Multiply \frac{7}{9} times \frac{10}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{9}+\frac{7\times 10}{9\times 21}$$

Do the multiplications in the fraction \frac{7\times 10}{9\times 21}.

$$\frac{4}{9}+\frac{70}{189}$$

Reduce the fraction \frac{70}{189} to lowest terms by extracting and canceling out 7.

$$\frac{4}{9}+\frac{10}{27}$$

Least common multiple of 9 and 27 is 27. Convert \frac{4}{9} and \frac{10}{27} to fractions with denominator 27.

$$\frac{12}{27}+\frac{10}{27}$$

Since \frac{12}{27} and \frac{10}{27} have the same denominator, add them by adding their numerators.

$$\frac{12+10}{27}$$

Add 12 and 10 to get 22.

$$\frac{22}{27}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {3}} = 0.8148148148148148$$