Calculators & Converters

    7/10 minus 2/5 as a fraction

    Fraction Subtraction Calculator

    7/10 - 2/5 as a fraction provides the detailed information about what is 7/10 minus 2/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/10-2/5 equals to
    7/10 - 2/5 = (?)
    7/10 - 2/5 = [(7 x 5) - (2 x 10)]/(10 x 5)
    = (35 - 20)/50
    = 15/50
    = (5 x 3)/(5 x 10)
    = 3/10
    7/10 - 2/5 = 3/10
    7/10 minus 2/5 is equal to 3/10

    where
    7/10 is a fraction as a minuend,
    2/5 is a fraction as a subtrahend,
    3/10 is the difference between 7/10 and 2/5.

    7/10 minus 2/5 as a decimal
    7/10 - 2/5 = 3/10
    3/10 = 0.3
    7/10-2/5 as a decimal is 0.3
    where
    0.3 is the difference between 7/10 and 2/5.

    For values other than 7/10 minus 2/5, use this below tool:

    How-to: 7/10 - 2/5 = ?

    The below workout with step by step calculation shows how to find what is 7/10 minus 2/5 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 7/10 minus 2/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/10
    Fraction B: 2/5

    What to be found?
    7/10-2/5 = ?
    Find what's the difference between 7/10 and 2/5.


    step 2 Compare the denominators of fractions 7/10 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/10 and 2/5 are not equal, it is said to be unlike fractions subtraction.

    step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 7/10 and 2/5:
    The LCM of 10 and 5 is 10.


    step 4 Write the fractions 7/10 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/10-2/5
    =(7 x 10)/(10 x 10)-(2 x 10)/(5 x 10)


    step 5 Simplify the expression to have common denominator:
    =7/10-4/10


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/10 x (7/1-4/1)
    =1/10 x (7 - 4)


    step 7Simplify the above expression further:
    =1/10 x 3
    =3/10
    7/10-2/5=3/10

    Hence,
    7/10 minus 2/5 equals to 3/10 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/10
    Fraction B: 2/5

    What to be found?
    7/10-2/5 = ?
    Find what's the difference between 7/10 and 2/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 5) and rewrite the equation as like the below:
    = (7 x 5) - (2 x 10)/(10 x 5)

    step 3 Simplify and rewrite the fraction:
    = (35 - 20)/50
    = 15/50
    = 3/10
    7/10-2/5 = 3/10
    Hence,
    7/10 minus 2/5 = 3/10

    getcalc.com Calculators