Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade5

Easy

Question

An engineer built a road $6 fraction numerator 2 over denominator 3 end fraction$ miles long. The second road he built was $5 fraction numerator 2 over denominator 5 end fraction$ miles long. The total length of the two roads he built is ___________.

$12 \frac{1}{15}$ miles
$12 \frac{2}{15}$ miles
$11 \frac{1}{15}$ miles
$12 \frac{4}{15}$ miles

hint Hint:

1.Find the LCM of the denominators.
2.Multiply the numerator of the fractions with the quotient we get after we divide the LCM with each of the denominators. $F o r space 20 over 3 space w e space g e t space 5 space w h e n space w e space d i v i d e space 15 space w i t h space 3. space W e space m u l t i p l y space 5 space w i t h space 20. F o r space 27 over 5 space w e space g e t space 3 space w h e n space w e space d i v i d e space 15 space w i t h space 5. space W e space m u l t i p l y space 3 space w i t h space 27. S o space f i n a l l y space w e space g e t comma 100 over 15 plus 81 over 15$

The correct answer is: $12 fraction numerator 1 over denominator 15 end fraction$ miles

Step 1:
Length of first road = $6 fraction numerator 2 over denominator 3 end fraction$ miles
Length of second road = $5 fraction numerator 2 over denominator 5 end fraction$ miles
Step 2:
Total length roads = $6 fraction numerator 2 over denominator 3 end fraction plus 5 fraction numerator 2 over denominator 5 end fraction$
$equals fraction numerator 20 over denominator 3 end fraction plus fraction numerator 27 over denominator 5 end fraction equals fraction numerator 100 over denominator 15 end fraction plus fraction numerator 81 over denominator 15 end fraction$
$equals fraction numerator 181 over denominator 15 end fraction equals 12 fraction numerator 1 over denominator 15 end fraction text miles. end text$

After getting the answer do not forget to convert the improper fraction to a mixed fraction.

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.