Question

What is the value of
$( {3}^{ - 1} + {4}^{ - 1} ) \div {5}^{ - 1}$
​

Answer 1

Answer:

35 / 12

Step-by-step explanation:

$({3}^{ - 1} + {4}^{ - 1} ) \div {5}^{ - 1} \\ ( \frac{1}{3} + \frac{1}{4} ) \div ( \frac{1}{5} ) \\ (\frac{4 + 3}{12} ) \times 5 \\ \frac{7}{12} \times 5 \\ \frac{35}{12}$

Answer 2

Solution with process - ⬇️

$\tt \maltese \bigg( {3}^{ (- 1)} + {4}^{ (- 1)} \bigg) \div \bigg( {5}^{ - 1} \bigg) \\ \\ \tt\implies \bigg( \frac{1}{3} + \frac{1}{4} \bigg) \div \bigg( \frac{1}{5} \bigg) \\ \\ \tt \implies \: \bigg( \frac{4 + 3}{12} \bigg) \times 5 \\ \\ \tt \implies \: \frac{7}{12} \times 5 \\ \\ \boxed{ \red{ \therefore \: \: \tt\frac{35}{12}} \: \: \: \sf \green{ (AnsweR) }\: }$

Important Notes - ✔️

• When we want to remove the ( - ) from the power we just reciprocal the base. (3^-1) will be (1/3).

• When we change ( ÷ ) into ( × ) then also we reciprocal the base.

• We will take LCM of 3&4 ( see the attached file )

• In this way I solved the Whole Question.

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf\pmb{ \red{{@Brainly \: Honey}}}$

$\: \: \: \: \: \: \: \: \: \:\rm\pmb{ \green{{Hope \: this \: helps \: you}}}$