Math, asked by swetasingh0797, 5 months ago

Simplify :


1/2+3/4+1/8-1/12​

Answers

Answered by Zerina313121
4

........ Good morning.......

Attachments:
Answered by MasterDhruva
23

➤ Answer :-

 \tt  \frac{1}{2}  +  \frac{3}{4}  +  \frac{1}{8}   -  \frac{1}{12}  \\

First step is to add the fractions.

LCM of 2,4 and 8 is 24.

 \tt  \frac{1 \times 12}{2 \times 12}  +  \frac{3 \times 6}{4 \times 6}  +  \frac{1 \times 3}{8 \times 3}  -  \frac{1}{12}  \\

 \tt  \bigg(\frac{12}{24}  +  \frac{18}{24}  +  \frac{3}{24} \bigg)  -  \frac{1}{12}  \\

 \tt \frac{33}{24}  -  \frac{1}{12}  \\

Now, we have to subtract the fractions.

LCM of 24 and 12 is 24.

 \tt \frac{33}{24}  -  \frac{1 \times 12}{12 \times 2}  \\

 \tt \frac{33}{24}  -  \frac{12}{24}  =  \frac{33 - 12}{24}  \\

 \tt \frac{21}{24}  \\

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