Sum of  
9/10
and
1/6
in Simplest Form

Given:  
9/10
+
1/6

Since the denominators are not common (not the same), we need to find the Least Common Denominator (LCD), which is equivalent to the Least Common Multiple of 6 and 10:
LCD = LCM(6, 10) = 30
Express the given fractions as equivalent fractions with respect to the LCD (30):
9/10
=
27/30
  and  
1/6
=
5/30
As a result,  
9/10
+
1/6
=
27/30
+
5/30

Since the equivalent fractions have common denominators, we can add the numerators:
27/30
+
5/30
=
27 + 5/30
=
32/30
However,  
32/30
  is NOT in Simplest Form since the Greatest Common Factor of 30 and 32 does not equal 1, GCF(30, 32) ≠ 1
Upon inspection, the GCF(30, 32) = 2
In Simplest Form,  
32/30
=
32 ÷ 2/30 ÷ 2
=
16/15
 (1 is the only factor common to 16 and 15)
Therefore, the Sum of  
9/10
and
1/6
is equal to
16/15
in Simplest Form:  
9/10
+
1/6
=
16/15
Note:
16/15
is an improper fraction, and as a mixed number,  
16/15
= 1
1/15

The solution above and other related solutions were provided by the Sum of Fractions Application.

Find the Sum of Fractions in Simplest Form

Related Glossary Terms

Related Applications

Related Solutions