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ioda
3 years ago
9

5/6-(-3/4) worked step by step

Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

Answer:

1 7/12

Step-by-step explanation:

​6

​

​5

​​ +

​4

​

​3

​​  

2 Find the Least Common Denominator (LCD) of \frac{5}{6},\frac{3}{4}

​6

​

​5

​​ ,

​4

​

​3

​​ . In other words, find the Least Common Multiple (LCM) of 6,46,4.

LCD = 1212

3 Make the denominators the same as the LCD.

\frac{5\times 2}{6\times 2}+\frac{3\times 3}{4\times 3}

​6×2

​

​5×2

​​ +

​4×3

​

​3×3

​​  

4 Simplify. Denominators are now the same.

\frac{10}{12}+\frac{9}{12}

​12

​

​10

​​ +

​12

​

​9

​​  

5 Join the denominators.

\frac{10+9}{12}

​12

​

​10+9

​​  

6 Simplify.

\frac{19}{12}

​12

​

​19

​​  

7 Convert to mixed fraction.

1\frac{7}{12}1

​12

​

​7

​​  

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