Solve 7/24div13/4

$$\frac { 7 } { 24 } \div 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Divide \frac{7}{24} by \frac{1\times 4+3}{4} by multiplying \frac{7}{24} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{7\times 4}{24\left(1\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{7}{6\left(3+4\right)}$$

Add 3 and 4 to get 7.

$$\frac{7}{6\times 7}$$

Multiply 6 and 7 to get 42.

$$\frac{7}{42}$$

Reduce the fraction \frac{7}{42} to lowest terms by extracting and canceling out 7.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$