Solve (0.42-32/89)/11.4

$$\frac { ( 0.42 - \frac { 32 } { 89 } ) } { 11.4 }$$

Evaluate

$$\frac{269}{50730}\approx 0.005302582$$

Solution Steps

Convert decimal number 0.42 to fraction \frac{42}{100}. Reduce the fraction \frac{42}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{21}{50}-\frac{32}{89}}{11.4}$$

Least common multiple of 50 and 89 is 4450. Convert \frac{21}{50} and \frac{32}{89} to fractions with denominator 4450.

$$\frac{\frac{1869}{4450}-\frac{1600}{4450}}{11.4}$$

Since \frac{1869}{4450} and \frac{1600}{4450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1869-1600}{4450}}{11.4}$$

Subtract 1600 from 1869 to get 269.

$$\frac{\frac{269}{4450}}{11.4}$$

Express \frac{\frac{269}{4450}}{11.4} as a single fraction.

$$\frac{269}{4450\times 11.4}$$

Multiply 4450 and 11.4 to get 50730.

$$\frac{269}{50730}$$

Factor

$$\frac{269}{2 \cdot 3 \cdot 5 \cdot 19 \cdot 89} = 0.005302582298442736$$