Solve 21/4/frac{7{4}}=3/2/5=

$$\frac { 2 \frac { 1 } { 4 } } { \frac { 7 } { 4 } } = \frac { \frac { 3 } { 2 } } { 5 } =$$

Verify

Solution Steps

Divide \frac{2\times 4+1}{4} by \frac{7}{4} by multiplying \frac{2\times 4+1}{4} by the reciprocal of \frac{7}{4}.

$$\frac{\left(2\times 4+1\right)\times 4}{4\times 7}=\frac{\frac{3}{2}}{5}$$

Cancel out 4 in both numerator and denominator.

$$\frac{1+2\times 4}{7}=\frac{\frac{3}{2}}{5}$$

Multiply 2 and 4 to get 8.

$$\frac{1+8}{7}=\frac{\frac{3}{2}}{5}$$

Add 1 and 8 to get 9.

$$\frac{9}{7}=\frac{\frac{3}{2}}{5}$$

Express \frac{\frac{3}{2}}{5} as a single fraction.

$$\frac{9}{7}=\frac{3}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{9}{7}=\frac{3}{10}$$

Least common multiple of 7 and 10 is 70. Convert \frac{9}{7} and \frac{3}{10} to fractions with denominator 70.

$$\frac{90}{70}=\frac{21}{70}$$

Compare \frac{90}{70} and \frac{21}{70}.

$$\text{false}$$