5-17/39/4-এর সমাধান করুন

$$\frac{ 5- \frac{ 17 }{ 39 } }{ 4 }$$

Evaluate

$$\frac{89}{78}\approx 1.141025641$$

Solution Steps

Convert 5 to fraction \frac{195}{39}.

$$\frac{\frac{195}{39}-\frac{17}{39}}{4}$$

Since \frac{195}{39} and \frac{17}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{195-17}{39}}{4}$$

Subtract 17 from 195 to get 178.

$$\frac{\frac{178}{39}}{4}$$

Express \frac{\frac{178}{39}}{4} as a single fraction.

$$\frac{178}{39\times 4}$$

Multiply 39 and 4 to get 156.

$$\frac{178}{156}$$

Reduce the fraction \frac{178}{156} to lowest terms by extracting and canceling out 2.

$$\frac{89}{78}$$

Factor

$$\frac{89}{2 \cdot 3 \cdot 13} = 1\frac{11}{78} \approx 1.141025641$$