Convert 0.350 to a Simplified Fraction: Step-by-Step Solution

Question

Write the following decimal fraction as a simple fraction and simplify:

$0.350$

00:07 Let's write this as a simple and reduced fraction.

00:11 To begin, divide each digit after the decimal by the place value it represents.

00:17 Next, write the fraction with the correct denominator.

00:23 Now, reduce it as much as possible by dividing both the numerator and the denominator.

00:36 And there you have it, that's the solution!

Since there are three digits after the decimal point, we divide 350 by 1000:

$\frac{350}{1000}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 50, so:

$\frac{350:50}{1000:50}=\frac{7}{20}$

$\frac{7}{20}$