Question

5 whole 1 by 6 minus 7 whole 11 by 15

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Answer 1

Answer:

Solve 5 $\frac{1}{6}$ - 7 $\frac{11}{15}$

5 $\frac{1}{6}$ - 7 $\frac{11}{15}[/tex = - 3 [tex]\frac{9}{10}$

Step - by - step Explanation:

Solve

5 $\frac{1}{6}$ - 7 $\frac{11}{15}[/tex</p><p></p><p>Convert these mixed fractions to whole fractions:</p><p></p><p>5 [tex]\frac{1}{6}$  = $\frac{6×5 +1}{6}$ = $\frac{31}{6}$

7 $\frac{11}{15}[/tex =  [tex]\frac{15×7+1}{15}$ = $\frac{116}{15}$

Therefore  5 $\frac{1}{6}$ - 7 $\frac{11}{15}$ = $\frac{31}{6}$ -  $\frac{116}{15}$

Solve $\frac{31}{6}$ -  $\frac{116}{15}$

Find the LCM of the denominators:

LCM of 6 and 15

6 = 6, 12,18, 24,30,36

15= 15, 30, 45, 60

LCM = 30

$\frac{31}{6}$ -  $\frac{116}{15}$=  $\frac{155 - 232}{30}$

                   =  $\frac{-117}{30}$

Therefore  5 $\frac{1}{6}$ - 7 $\frac{11}{15}$ = $\frac{-117}{30}$

Convert $\frac{-117}{30}$ to mixed fraction

 $\frac{-117}{30}$ =  $\frac{-39}{10}$

 $\frac{-39}{10}$ = - 3  $\frac{9}{10}$