Add.Reduce the sum to lowest term whenever possible 1/5 3/10 1/3

Sagot :

find the GCF of 3,10 and 5
the answer is 25/30 or 5/6

Find the GCF of the denominators.

5: 5, 10, 15, 20, 25, 30
10: 20, 30
3: 6, 9, 12, 15, 18, 21, 24, 27, 30

The GCF is 30


So the denominator of the answer will be 30, now let us find out what is the numerator.


The formula is:

Common Denominator / Denominator x Numerator = New Numerator

Applying the formula on each of the fractions,
30 / 5 x 1 = 6
30 / 10 x 3 = 9
30 / 3 x 1 = 10

Add all the sum.


6 + 9 + 10 = 25

So we got 25/30 as the answer.


But it is not in lowest term, we have to reduce it.


25 / 5 = 5
30 / 5 = 6

So the answer in lowest term is...

[tex] \frac{5}{6} [/tex]