Question

if the sum of 1/5,1/3 and 1/4 is taken away from the difference of 5 and 12/5, then the value of the given result is___

Answer 1

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Answer 2

The correct answer is $\frac{109}{60}$.

Given: Rational numbers for sum = $\frac{1}{5},\frac{1}{3}and \frac{1}{4}$.

Rational numbers for difference = 5 and $\frac{12}{5}$.

To Find: Evaluate the terms as per question.

Solution:

sum = $\frac{1}{5}+\frac{1}{3}+ \frac{1}{4}$

= $\frac{12+20+15}{60}$

= $\frac{47}{60}$

Difference = 5 - $\frac{12}{5}$

= $\frac{25-12}{5}$

= $\frac{13}{5}$

Now the difference of  $\frac{13}{5}$ and  $\frac{47}{60}$.

= $\frac{13}{5}-\frac{47}{60}$

= $\frac{13*12-47}{60}$

= $\frac{156-47}{60}$

= $\frac{109}{60}$

Hence, the answer is $\frac{109}{60}$.

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