Mathematics
Grade5
Easy

Question

Add 1 half space and space 2 over 3.

  1. 7 over 6
  2. 7 over 3
  3. 3 over 5
  4. 3 over 2

hintHint:

In this question we have to add two fractions for that we have to make denominator same this can be done by taking LCM. LCM is the least common multiple of two integers. We will use the prime factorization method to find the LCM. In prime factorization method the simply put the factor of each number and then for LCM we take product of factors by considering the repeated factors only one time with highest exponent.

The correct answer is: 7 over 6


    Step1: First we will write all the prime factors of the denominators
    In this question the denominators are 2 and 3.
    Factors of 2 are:2 to the power of 1
    Factors of 3 are:3 to the power of 1
    Step2:  For calculating the LCM we will multiply the factors by considering the common factors only one time with the highest exponent.
    In this case there is no common factor so we will have to multiply all the factors
    LCM (2,3) = 2 to the power of 1 cross times 3 to the power of 1
    LCM (2,3) = 6
    Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then add them
    So, 6 over 2 equals 3
    and 6 over 3 equals 2
    So, we will multiply the numerator of 2 by 3 and numerator of 3 by 2.
    fraction numerator 1 cross times 3 plus 2 cross times 2 over denominator 6 end fraction equals 7 over 6
    So, the sum of 1 half space and space 2 over 3 is 7 over 6.

    Related Questions to study

    Grade5
    Mathematics

    Nancy finished 1 third of her homework on Monday and 1 fourthof her homework on Tuesday. Find the total homework done by Nancy.

    Nancy finished 1 third of her homework on Monday and 1 fourthof her homework on Tuesday. Find the total homework done by Nancy.

    MathematicsGrade5
    Grade5
    Mathematics

    A recipe needs 3 over 4 teaspoon black pepper and 1 fourth red pepper. ________ more black pepper is needed than red pepper for this recipe.

    A recipe needs 3 over 4 teaspoon black pepper and 1 fourth red pepper. ________ more black pepper is needed than red pepper for this recipe.

    MathematicsGrade5
    Grade5
    Mathematics

    Add 4 over 5 space and space 7 over 15.

    Add 4 over 5 space and space 7 over 15.

    MathematicsGrade5
    parallel
    Grade5
    Mathematics

    Add 6 over 9 space plus space 1 half.

    Add 6 over 9 space plus space 1 half.

    MathematicsGrade5
    Grade5
    Mathematics

    Add 9 over 12 space plus space 2 over 12.

    Add 9 over 12 space plus space 2 over 12.

    MathematicsGrade5
    Grade5
    Mathematics

    Subtract 7 over 11 space minus space 1 third.

    Subtract 7 over 11 space minus space 1 third.

    MathematicsGrade5
    parallel
    Grade5
    Mathematics

    Subtract 6 over 9 space minus space 2 over 5.

    Subtract 6 over 9 space minus space 2 over 5.

    MathematicsGrade5
    Grade5
    Mathematics

    Add 9 over 22 space and space 5 over 11.

    Add 9 over 22 space and space 5 over 11.

    MathematicsGrade5
    Grade5
    Mathematics

    ______ is the factor of every number.

    ______ is the factor of every number.

    MathematicsGrade5
    parallel
    Grade5
    Mathematics

    Identify the number that is not multiple of 2?

    Identify the number that is not multiple of 2?

    MathematicsGrade5
    Grade5
    Mathematics

    Find the smallest whole number that is divisible by 10 and 12.

    Find the smallest whole number that is divisible by 10 and 12.

    MathematicsGrade5
    Grade5
    Mathematics

    Add 5 over 16 space and space 4 over 8.

    Add 5 over 16 space and space 4 over 8.

    MathematicsGrade5
    parallel
    Grade5
    Mathematics

    Identify the denominator of 23 over 78?

    Identify the denominator of 23 over 78?

    MathematicsGrade5
    Grade5
    Mathematics

    If I cut a pizza into 10 equal size pieces, and then I eat 3 of those pieces. Find the numerator and the denominator of the fraction representing the amount I ate?

    If I cut a pizza into 10 equal size pieces, and then I eat 3 of those pieces. Find the numerator and the denominator of the fraction representing the amount I ate?

    MathematicsGrade5
    Grade5
    Mathematics

    Identify the numerator in the fraction 7 over 9?

    Identify the numerator in the fraction 7 over 9?

    MathematicsGrade5
    parallel

    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.