To convert the decimal 0.35 into a fraction, we start by recognizing that the digits after the decimal point indicate the place value. Here, 0.35 has two decimal places, which means we will express it as:
0.35 = 35/100
This fraction can be simplified. To do this, we need to find the greatest common divisor (GCD) of the numerator (35) and the denominator (100).
The GCD of 35 and 100 is 5. We divide both the numerator and the denominator by their GCD:
- 35 ÷ 5 = 7
- 100 ÷ 5 = 20
This gives us the simplified fraction:
0.35 = 7/20
Thus, 0.35 expressed as a fraction is 7/20.