Convert Decimal 0.35 to Simplified Fraction Form

Question

Write 0.35 as a fraction and reduce.

00:00 Convert to a simple and reduced fraction

00:03 Place the numbers in the numerator

00:08 Move the decimal point right until the number is whole and not decimal

00:12 We moved 2 times, so the denominator will be equal to 100

00:21 Now we'll reduce as much as possible

00:30 Break down 35 into factors 5 and 7, and 100 into factors 5 and 20

00:36 Reduce what we can

00:43 And this is the solution to the question

To solve this problem, we need to convert the decimal $0.35$ into a fraction and simplify it:

Step 1: Convert the decimal to a fraction. The decimal $0.35$ means that 35 is in the hundredths place. Thus, we write it as $\frac{35}{100}$ .
Step 2: Simplify the fraction $\frac{35}{100}$ by finding the greatest common divisor (GCD) of 35 and 100. The factors of 35 are 1, 5, 7, 35, and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The greatest common divisor is 5.
Step 3: Divide both the numerator and the denominator by 5:
$\frac{35}{100} = \frac{35 \div 5}{100 \div 5} = \frac{7}{20}$

Therefore, the simplified fraction of $0.35$ is $\frac{7}{20}$ .

$\frac{7}{20}$