Write each decimal as a fraction or mixed number a) 0.2  b) 0.6  c) 0.35

Solution:

A Fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a  specific value, or a thing. All fractions consist of a numerator and a denominator. A decimal number can be defined as a number whose whole number part and the fractional part are separated by a decimal point.

To express 0.2 as a fraction, we need to write the given decimal number in x/y form, where x and y are the positive integers.

Hence, we divide the number by 1 i.e, 0.2 / 1

Now, we will multiply and divide 0.2 / 1 by 10.

Hence, 0.2/1 × 10/10 = 2/10

This fraction, 2/10 can be further be simplified to 1/5.

So, 0.2 as a fraction is equal to 1/5

Similarly, we can write 0.6 as 6/10 = 3/5

0.35 as 35/100 = 7/20.

The fractions obtained cannot be written in mixed form as all the obtained fractions are proper fractions.

We also can use Cuemath's decimal to fraction calculator to verify our answer.

Hence, a) 0.2 as a fraction can be written as 1/5 b) 0.6 as a fraction can be written as 3/5 c) 0.35 can be written as 7/20.

Write each decimal as a fraction or mixed number a) 0.2  b) 0.6  c) 0.35

Summary:

a) 0.2 as a fraction can be written as 1/5  b) 0.6 as a fraction can be written as 3/5  c) 0.35 can be written as 7/20