Question

3 1/7 +(-5/14) + (-7/12) +2 3/4

Answer 1

Given:

3 1/7 +(-5/14) + (-7/12) +2 3/4

To find:

Simplify

Solution:

$3\frac{1}{7} + (-\frac{5}{14} )+ (-\frac{7}{12} ) + 2\frac{3}{4}$

we will first convert the mixed fractions into simple fractions

= $\frac{22}{7} + (-\frac{5}{14} )+ (-\frac{7}{12} ) + \frac{11}{4}$

= $\frac{22}{7} - \frac{5}{14} - \frac{7}{12} + \frac{11}{4}$

taking the L.C.M. of 7, 14, 12 and 4 which is 84

= $\frac{264 - 30 - 49 + 231}{84}$

as per the rule of BODMAS, we will add first and then subtract

= $\frac{495 - 30 - 49}{84}$

= $\frac{416}{84}$

on dividing both the numerator and denominator by 4

= $\frac{104}{21}$

we will now convert the simple fraction into mixed fractions

= $\bold{4\frac{20}{21} }$

Thus, $3\frac{1}{7} + (-\frac{5}{14} )+ (-\frac{7}{12} ) + 2\frac{3}{4} = \underline{\bold{4\frac{20}{21} }}$.

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Also View:

Simplify:

(a) 7 + [ 12 - { 8 + 3 - ( 9 of 6 + 1 - 13 x 4 )}]

(b) 90 + {10 + 15 of 3 - (20 + 30 – 45 ÷ 5)}

(c) 37 + 26 ÷ 2 + 2 of 25 – 80 ÷ 2

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