What fraction is equivalent to 1/3?

2 Answers
Feb 9, 2018

Please see below.

Explanation:

.

There are infinite number of fractions that are equal to #1/3#.

You can multiply the numerator and denominator of #1/3# by any number and the resulting fraction would be equal to #1/3# so long as you are multiplying both by the same number.

For example:

#1/3=(1*2)/(3*2)=2/6#

#1/3=(1*4000)/(3*4000)=4000/12000#

and so on and so forth.

#1/3 = 2/6 =3/9 = 4/12 = 5/15 = 9/27 = 14/42 = 17/51 = 50/150 .....#

Explanation:

There are many fractions which are equivalent to #1/3# but this is the simplest form.

To find an equivalent fraction, multiply #1/3 # by #1#, but with #1# written as #2/2, 3/3, 4/4# etc

Multiplying the numerator and denominator by the same number does not change the value of a fraction.

#1/3 xx 2/2 = 2/6#

#1/3 xx 7/7 = 7/21#

#1/3 = 2/6 =3/9 = 4/12 = 5/15 = 9/27 = 14/42 = 17/51 = 50/150 # etc