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Mathematics

Grade5

Easy

Question

A person bought $4 fraction numerator 3 over denominator 7 end fraction$ pounds of potatoes. If he later bought another $7 fraction numerator 2 over denominator 5 end fraction$ pounds of potatoes, the total weight of potatoes he bought is___________.

$11 \frac{27}{35}$
$11 \frac{29}{35}$
$11 \frac{24}{35}$
$11 \frac{23}{35}$

hint Hint:

1.Find the LCM of the denominators.
2.Multiply the numerator with the quotient we get after dividing the LCM with each of the denominators.
$F o r space 31 over 7 space w e space g e t space 5 space i f space w e space d i v i d e space 35 space w i t h space 7. W e space w i l l space t h e n space m u l t i p l y space 5 space w i t h space 31. F o r space 37 over 5 space w e space g e t space 7 space i f space w e space d i v i d e space 35 space w i t h space 5. W e space w i l l space t h e n space m u l t i p l y space 7 space w i t h space 31.$

The correct answer is: $11 fraction numerator 29 over denominator 35 end fraction$

Step 1:
Weight of potatoes first bought = $4 fraction numerator 3 over denominator 7 end fraction$ pounds
Weight of potatoes bought later = $7 fraction numerator 2 over denominator 5 end fraction$ pounds
Step 2:
Total boxes recycled = $4 fraction numerator 3 over denominator 7 end fraction plus 7 fraction numerator 2 over denominator 5 end fraction$
$equals fraction numerator 31 over denominator 7 end fraction plus fraction numerator 37 over denominator 5 end fraction equals fraction numerator 155 over denominator 35 end fraction plus fraction numerator 259 over denominator 35 end fraction$
$equals fraction numerator 414 over denominator 35 end fraction equals 11 fraction numerator 29 over denominator 35 end fraction$

After getting the result as an improper fraction do not forget to convert it into a mixed fraction.

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