Maths-
General
Easy

Question

Evaluate 3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction

Hint:

Find LCM of the given fractions and then add.

The correct answer is: 1/15


    To find: 3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction
    Here by taking the LCM of denominators 5 and 3, we have 15 as LCM.
    On multiplying 3 over 5 with 3, we get fraction numerator 3 cross times 3 over denominator 5 cross times 3 end fraction equals 9 over 15
    On multiplying 7 over 3 with 5, we get fraction numerator 7 cross times 5 over denominator 3 cross times 5 end fraction equals 35 over 15
    On multiplying fraction numerator negative 11 over denominator 5 end fraction with 3, we get fraction numerator negative 11 cross times 3 over denominator 5 cross times 3 end fraction equals fraction numerator negative 33 over denominator 15 end fraction
    On multiplying fraction numerator negative 2 over denominator 3 end fraction with 5, we get fraction numerator negative 2 cross times 5 over denominator 3 cross times 5 end fraction equals fraction numerator negative 10 over denominator 15 end fraction
    Now we have 4 fractions with the same denominators.
    On adding, we have 9 over 15 plus 35 over 15 plus fraction numerator negative 33 over denominator 15 end fraction plus fraction numerator negative 10 over denominator 15 end fraction equals 1 over 15
    Hence 3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction equals 1 over 15

    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.