Answered: "What is 1−6+1l over l+742?"

aidmoong7

Answered question

2021-11-14

What is

\frac{1}{- 6} + \frac{1}{l}

over

l + \frac{7}{42}

Fearen

Beginner2021-11-15Added 15 answers

Step 1
LCD of the fractions in numerator

= 6 l

We try to make same denominators for them and combine them.

\frac{\frac{1}{6} + \frac{1}{l}}{\frac{l + 7}{42}}

\frac{- \frac{l}{6 l} + \frac{6}{6 l}}{\frac{l + 7}{42}}

= \frac{\frac{- l + 6}{6 l}}{\frac{l + 7}{42}}

Step 2
Flip the fraction in denominator and multiply.

\frac{42}{6}

reduces and gives 7

\frac{\frac{- l + 6}{6 l}}{\frac{l + 7}{42}}

= \frac{- l + 6}{6 l} \cdot \frac{42}{l + 7}

= \frac{7 (- l + 6)}{l (l + 7)}

Step 3
Distribute 7 and l.

\frac{7 (- l + 6)}{l (l + 7)}

= \frac{- 7 l + 42}{l^{2} + 7 l}

Answer:

\frac{- 7 l + 42}{l^{2} + 7 l}

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