Question

Convert the given fraction into percentage and decimal, $3\dfrac{4}{5}$.

Answer 1

Check the type of fraction it is, mixed or proper or improper. To change the fraction to decimal either use long division or change the denominator of the fraction to the nearest multiple of 10 and accordingly change the numerator. Multiply the fraction with 100 to get the percentage value.

Complete step by step solution:
In the question we can see a mixed fraction. First, we need to change that to an improper fraction.

$3\dfrac{4}{5} = \dfrac{{(3 \times 5) + 4}}{5} = \dfrac{{19}}{5}$

The best way to solve this question is by changing the denominator to the nearest multiple of 10. In this case, the denominator is 5. The nearest multiple of 10 to 5 is 10. Thus, the resulting fraction will look like,

$\dfrac{{19 \times 2}}{{5 \times 2}} = \dfrac{{38}}{{10}}$

Now, we can see that the denominator has changed to the multiple of 10, i.e., 10. 10 has 1 zero.

Hence the decimal point will shift backwards by 1 number. The final result will be 3.8.

Alternate Method: Let us use the long division method to solve this fraction.
$\dfrac{{19}}{5} = \,19 \div 5 = 3.8$

Note: In case of proper or improper fractions, the above two methods are suitable. However, whenever the denominator contains a number that is not a factor of the nearest multiple of 10, the conversion is not preferable due to lengthy calculations. For mixed fractions, first you’ll need to convert them to an improper fraction and then proceed with any of the above methods to convert them into decimals.