Converting decimals to fractions or mixed numbers is a straightforward process. Let’s break down each of the decimals you provided.
a) Converting 0.2
To convert 0.2 into a fraction, we recognize that it can be read as “two tenths.” This translates mathematically as:
0.2 = 2/10
Next, simplify the fraction by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor, which is 2:
(2 ÷ 2) / (10 ÷ 2) = 1/5
Thus, 0.2 in fraction form is:
1/5
b) Converting 0.6
Similarly, 0.6 can be expressed as “six tenths” or:
0.6 = 6/10
Again, we simplify this fraction by dividing the numerator and denominator by 2:
(6 ÷ 2) / (10 ÷ 2) = 3/5
Hence, 0.6 in fraction form is:
3/5
c) Converting 0.35
For 0.35, it can be read as “thirty-five hundredths,” leading us to:
0.35 = 35/100
Next, we simplify this fraction. The greatest common divisor of 35 and 100 is 5, so we divide both by 5:
(35 ÷ 5) / (100 ÷ 5) = 7/20
Thus, 0.35 in fraction form is:
7/20
Summary
In conclusion, here are the decimals converted into fractions:
- 0.2 = 1/5
- 0.6 = 3/5
- 0.35 = 7/20
This method can be applied to convert any decimal into a fraction or mixed number efficiently!