Question

simplify (a) 5/4 - 7/4 - 5/36

Answer 1

5/4-7/4-5/36
=45-63-5/36
=-23/36=-1/2

Answer 2

Answer:

On simplifying $\frac{5}{4}-\frac{7}{4}-\frac{5}{36}$ we get answers as$-\frac{23}{36} .$

Step-by-step explanation:

As per data given in the question,

We have,

$\frac{5}{4}-\frac{7}{4}-\frac{5}{36}$

To find the solution of given rational numbers we get need to equalize denominators of rational numbers by taking LCM if they are not equal.

Since, $\frac{5}{4}$ and $\frac{7}{4}$ having the same denominator:

Subtract them by subtracting their numerators.

$=> \frac{5 - 7}{4} -\frac{5}{36}$

$=> \frac{- 2}{4} -\frac{5}{36}$

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

$=> -\frac{1}{2} -\frac{5}{36}$

The least common multiple of $2$ and $36$ is $36$.

Convert $-\frac{1}{2}$ and $\frac{5}{36}$  to fractions with denominator $36$.

$=> -\frac{18}{36} -\frac{5}{36}$

$=> \frac{-18-5}{36}$

Subtract $5$ from $-18$,

$=> -\frac{23}{36}$

Hence, the required solution is $-\frac{23}{36} .$