Convert Decimal 1.4 to Simplified Fraction Form

Question

Convert into a mixed fraction:

$1.4$

00:03 Let's write this as a simplified fraction.

00:06 Take each number after the decimal point and divide it by its place value.

00:12 Next, find the right denominator for the fraction.

00:16 Don't forget to add 1 as needed.

00:23 Simplify by dividing both the top and bottom by the same amount.

00:37 And that's how we find the solution!

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we divide 4 by 10 and add 1 which represents one whole number, as follows:

$1+\frac{4}{10}$

Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 2:

$1+\frac{4:2}{10:2}=1+\frac{2}{5}=1\frac{2}{5}$

$1\frac{2}{5}$