Solve (9+1)div4/5=2/3

$$( 9 + 1 ) \div \frac { 4 } { 5 } = \frac { 2 } { 3 }$$

Verify

Solution Steps

Add 9 and 1 to get 10.

$$\frac{10}{\frac{4}{5}}=\frac{2}{3}$$

Divide 10 by \frac{4}{5} by multiplying 10 by the reciprocal of \frac{4}{5}.

$$10\times \frac{5}{4}=\frac{2}{3}$$

Express 10\times \frac{5}{4} as a single fraction.

$$\frac{10\times 5}{4}=\frac{2}{3}$$

Multiply 10 and 5 to get 50.

$$\frac{50}{4}=\frac{2}{3}$$

Reduce the fraction \frac{50}{4} to lowest terms by extracting and canceling out 2.

$$\frac{25}{2}=\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{25}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{75}{6}=\frac{4}{6}$$

Compare \frac{75}{6} and \frac{4}{6}.

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