Solve 31/2/7y2/4

$$\frac { 3 \frac { 1 } { 2 } } { 7 } y \frac { 2 } { 4 }$$

Evaluate

$$\frac{y}{4}$$

Solution Steps

Express \frac{\frac{3\times 2+1}{2}}{7} as a single fraction.

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

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2\times 7}y\times \frac{2}{4}$$

Add 6 and 1 to get 7.

$$\frac{7}{2\times 7}y\times \frac{2}{4}$$

Multiply 2 and 7 to get 14.

$$\frac{7}{14}y\times \frac{2}{4}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$\frac{1}{2}y\times \frac{2}{4}$$

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

$$\frac{1}{2}y\times \frac{1}{2}$$

Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 2}y$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

$$\frac{1}{4}y$$

Expand

$$\frac{y}{4}$$

Solution Steps

Express \frac{\frac{3\times 2+1}{2}}{7} as a single fraction.

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

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2\times 7}y\times \frac{2}{4}$$

Add 6 and 1 to get 7.

$$\frac{7}{2\times 7}y\times \frac{2}{4}$$

Multiply 2 and 7 to get 14.

$$\frac{7}{14}y\times \frac{2}{4}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$\frac{1}{2}y\times \frac{2}{4}$$

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

$$\frac{1}{2}y\times \frac{1}{2}$$

Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 2}y$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

$$\frac{1}{4}y$$