5/6 plus 3/10 as a fraction
5/6 + 3/10 as a fraction provides the detailed information about what is 5/6 plus 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
5/6+3/10 equals to
5/6 + 3/10 = (?)
5/6 + 3/10 = [(5 x 10) + (3 x 6)]/(6 x 10)
= (50 + 18)/60
= 68/60
= (4 x 17)/(4 x 15)
= 17/15
5/6 + 3/10 = 17/15
5/6 plus 3/10 is equal to 17/15
where
5/6 is a fraction as an addend,
3/10 is a fraction as an addend,
17/15 is the sum of 5/6 and 3/10.
5/6 plus 3/10 as a decimal
5/6 + 3/10 = 17/15
17/15 = 1.1333
5/6+3/10 as a decimal is 1.1333
where
1.1333 is the sum of 5/6 and 3/10.
How-to: 5/6 + 3/10 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 5/6 plus 3/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 3/10
What to be found?
5/6+3/10 = ?
Find what's the sum of 5/6 and 3/10.
step 2 Compare the denominators of fractions 5/6 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/6 and 3/10 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 5/6 and 3/10:
The LCM of 6 and 10 is 30.
step 4 Write the fractions 5/6 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6+3/10
=(5 x 30)/(6 x 30)+(3 x 30)/(10 x 30)
step 5 Simplify the expression to have common denominator:
=25/30+9/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (25/1+9/1)
=1/30 x (25 + 9)
step 7Simplify the above expression further:
=1/30 x 34
= 34/30
=17/15
5/6+3/10=17/15
Hence,
5/6 plus 3/10 equals to 17/15 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 3/10
What to be found?
5/6+3/10 = ?
Find what's the sum of 5/6 and 3/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
= (5 x 10) + (3 x 6)/(6 x 10)
step 3 Simplify and rewrite the fraction:
= (50 + 18)/60
= 68/60
= 17/15
5/6+3/10 = 17/15
Hence,
5/6 plus 3/10 = 17/15
