Convert Decimal 0.75 to Simplified Fraction Form

Question

Write the following decimal as a fraction and simplify:

$0.75$

00:05 First, let's change it to a simple fraction and reduce as much as possible.

00:10 Take the digits after the decimal point and write them as a whole number.

00:15 Now, count these digits to find out what the denominator should be.

00:20 Since there are two digits after the decimal point, our denominator is one hundred.

00:25 Next, divide the fraction by its greatest common factor.

00:30 Remember to divide both the numerator and the denominator by this number.

00:35 Now, calculate the quotients to simplify the fraction.

00:39 And that's how we find the solution to the problem!

Since there are two digits after the decimal point, we divide 75 by 100:

$\frac{75}{100}$

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

In this case, the number is 25, so:

$\frac{75:25}{100:25}=\frac{3}{4}$

$\frac{3}{4}$