Question

6. Simplify. -4/5 - 3/15 + 7/20​

Answer 1

Answer:

-13/20 or decimal -0.65

Step-by-step explanation:

U just simplify the numbers you see i hope that helps XD...

Answer 2

★ How to do :-

Here, we are given with three fractions in which we are asked to subtract two of them and to add two of them. We are asked to simplify and find out the answer in the lowest form. We can find the answer of this by a concept called as LCM which means least common multiple. This concept is very helpful in adding the fractions when they have different denominators. This helps us to convert the unlike fractions into like fractions. If we have like fractions, we can add those directly without taking the LCM. So, let's solve!!

$\:$

➤ Solution :-

${\tt \leadsto \dfrac{(-4)}{5} - \dfrac{3}{15} + \dfrac{7}{20}}$

According to the rule, first we should add the fractions.

${\tt \leadsto \dfrac{3}{15} + \dfrac{7}{20}}$

LCM of 15 and 20 is 60.

${\tt \leadsto \dfrac{3 \times 4}{15 \times 4} + \dfrac{7 \times 3}{20 \times 3}}$

Multiply the numerator and denominator of both fractions.

${\tt \leadsto \dfrac{12}{60} + \dfrac{21}{60}}$

Now, add the numerators of both fractions.

${\tt \leadsto \dfrac{12 + 21}{60} = \dfrac{33}{60}}$

Write the obtained fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{33}{60} = \dfrac{11}{20}}$

$\:$

Write the obtained answer in it's place.

${\tt \leadsto \dfrac{(-4)}{5} - \dfrac{11}{20}}$

LCM of 5 and 20 is 20.

${\tt \leadsto \dfrac{(-4) \times 4}{5 \times 4} - \dfrac{11}{20}}$

Multiply the numerators and denominators of first fraction.

${\tt \leadsto \dfrac{(-16)}{20} - \dfrac{11}{20}}$

Now, subtract the values to get the answer.

${\tt \leadsto \dfrac{(-16) - 11}{20} - \dfrac{(-27)}{20}}$

Convert the obtained fraction to mixed fraction.

${\tt \leadsto \dfrac{(-27)}{20} = -1 \dfrac{7}{20}}$

$\:$

${\red{\underline{\boxed{\bf So, \: the \: answer \: is \: \: -1 \dfrac{7}{20}}}}}$