1/9 plus 1/10 as a fraction
1/9 + 1/10 as a fraction provides the detailed information about what is 1/9 plus 1/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/9+1/10 equals to
1/9 + 1/10 = (?)
1/9 + 1/10 = [(1 x 10) + (1 x 9)]/(9 x 10)
= (10 + 9)/90
= 19/90
1/9 + 1/10 = 19/90
1/9 plus 1/10 is equal to 19/90
where
1/9 is a fraction as an addend,
1/10 is a fraction as an addend,
19/90 is the sum of 1/9 and 1/10.
1/9 plus 1/10 as a decimal
1/9 + 1/10 = 19/90
19/90 = 0.2111
1/9+1/10 as a decimal is 0.2111
where
0.2111 is the sum of 1/9 and 1/10.
How-to: 1/9 + 1/10 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/9 plus 1/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 1/10
What to be found?
1/9+1/10 = ?
Find what's the sum of 1/9 and 1/10.
step 2 Compare the denominators of fractions 1/9 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 1/10 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 1/9 and 1/10:
The LCM of 9 and 10 is 90.
step 4 Write the fractions 1/9 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/9+1/10
=(1 x 90)/(9 x 90)+(1 x 90)/(10 x 90)
step 5 Simplify the expression to have common denominator:
=10/90+9/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (10/1+9/1)
=1/90 x (10 + 9)
step 7Simplify the above expression further:
=1/90 x 19
=19/90
1/9+1/10=19/90
Hence,
1/9 plus 1/10 equals to 19/90 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 1/10
What to be found?
1/9+1/10 = ?
Find what's the sum of 1/9 and 1/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 10) and rewrite the equation as like the below:
= (1 x 10) + (1 x 9)/(9 x 10)
step 3 Simplify and rewrite the fraction:
= (10 + 9)/90
1/9+1/10 = 19/90
Hence,
1/9 plus 1/10 = 19/90
