Solution: 69/10 as a decimal is 6.9
Methods
Method 1 – Explanation using the division method:
One method to convert 69/10 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 69 by the denominator 10:
69 (numerator) ÷ 10 (denominator) = 6.9
And there you go! We got 6.9 as the answer when you convert 69/10 to a decimal.
Method 2 – Explanation using the factors of 10 method:
In this method, we will convert the denominator into a power of 10 and then our fraction will be easier to calculate. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert it into a power of 10.
In order to make 10 a power of 10, we need to multiply by 1 (10 * 1 = 10. Since we multiplied the denominator by {m}, we also need to multiply the numerator by {m} too:
69
∗
1
10
∗
1
=
69
10
=
6.9
\frac{69 * 1}{10 * 1} = \frac{69}{10} = 6.9
10 ∗ 1 69 ∗ 1 = 10 69 = 6.9
And finally, you get 6.9 as your answer when you convert 69/10 to a decimal.
Practice more problems!
All it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go:
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