7/10 plus 1/6 as a fraction
7/10 + 1/6 as a fraction provides the detailed information about what is 7/10 plus 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/10+1/6 equals to
7/10 + 1/6 = (?)
7/10 + 1/6 = [(7 x 6) + (1 x 10)]/(10 x 6)
= (42 + 10)/60
= 52/60
= (4 x 13)/(4 x 15)
= 13/15
7/10 + 1/6 = 13/15
7/10 plus 1/6 is equal to 13/15
where
7/10 is a fraction as an addend,
1/6 is a fraction as an addend,
13/15 is the sum of 7/10 and 1/6.
7/10 plus 1/6 as a decimal
7/10 + 1/6 = 13/15
13/15 = 0.8667
7/10+1/6 as a decimal is 0.8667
where
0.8667 is the sum of 7/10 and 1/6.
How-to: 7/10 + 1/6 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/10 plus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/10
Fraction B: 1/6
What to be found?
7/10+1/6 = ?
Find what's the sum of 7/10 and 1/6.
step 2 Compare the denominators of fractions 7/10 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/10 and 1/6 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 7/10 and 1/6:
The LCM of 10 and 6 is 30.
step 4 Write the fractions 7/10 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/10+1/6
=(7 x 30)/(10 x 30)+(1 x 30)/(6 x 30)
step 5 Simplify the expression to have common denominator:
=21/30+5/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (21/1+5/1)
=1/30 x (21 + 5)
step 7Simplify the above expression further:
=1/30 x 26
= 26/30
=13/15
7/10+1/6=13/15
Hence,
7/10 plus 1/6 equals to 13/15 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: 1/6
What to be found?
7/10+1/6 = ?
Find what's the sum of 7/10 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 6) and rewrite the equation as like the below:
= (7 x 6) + (1 x 10)/(10 x 6)
step 3 Simplify and rewrite the fraction:
= (42 + 10)/60
= 52/60
= 13/15
7/10+1/6 = 13/15
Hence,
7/10 plus 1/6 = 13/15
