To convert the decimal 0.35 into a fraction, we first need to understand what the decimal means. The number 0.35 can be read as ‘thirty-five hundredths’ because there are two digits after the decimal point.
We can express this as a fraction:
0.35 = 35/100
Now, we can simplify this fraction. Both the numerator (35) and the denominator (100) can be divided by their greatest common divisor, which is 5:
35 ÷ 5 = 7
100 ÷ 5 = 20
So, when we simplify 35/100, we get:
0.35 = 7/20
Therefore, the decimal 0.35 as a simplified fraction is 7/20.