7/10 plus 6/11 as a fraction
7/10 + 6/11 as a fraction provides the detailed information about what is 7/10 plus 6/11 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/10+6/11 equals to
7/10 + 6/11 = (?)
7/10 + 6/11 = [(7 x 11) + (6 x 10)]/(10 x 11)
= (77 + 60)/110
= 137/110
7/10 + 6/11 = 137/110
7/10 plus 6/11 is equal to 137/110
where
7/10 is a fraction as an addend,
6/11 is a fraction as an addend,
137/110 is the sum of 7/10 and 6/11.
7/10 plus 6/11 as a decimal
7/10 + 6/11 = 137/110
137/110 = 1.2455
7/10+6/11 as a decimal is 1.2455
where
1.2455 is the sum of 7/10 and 6/11.
How-to: 7/10 + 6/11 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/10 plus 6/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/10
Fraction B: 6/11
What to be found?
7/10+6/11 = ?
Find what's the sum of 7/10 and 6/11.
step 2 Compare the denominators of fractions 7/10 and 6/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/10 and 6/11 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 6/11:
The LCM of 10 and 11 is 110.
step 4 Write the fractions 7/10 and 6/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/10+6/11
=(7 x 110)/(10 x 110)+(6 x 110)/(11 x 110)
step 5 Simplify the expression to have common denominator:
=77/110+60/110
step 6 Take the common values out and rewrite the above expression like the below:
=1/110 x (77/1+60/1)
=1/110 x (77 + 60)
step 7Simplify the above expression further:
=1/110 x 137
=137/110
7/10+6/11=137/110
Hence,
7/10 plus 6/11 equals to 137/110 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: 6/11
What to be found?
7/10+6/11 = ?
Find what's the sum of 7/10 and 6/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 11), find the product of numerator of Fraction B and denominator of Fraction A (6 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 11) and rewrite the equation as like the below:
= (7 x 11) + (6 x 10)/(10 x 11)
step 3 Simplify and rewrite the fraction:
= (77 + 60)/110
7/10+6/11 = 137/110
Hence,
7/10 plus 6/11 = 137/110
