Question

Phil ate \[\dfrac{2}{5}\] of a pizza, Caroline ate \[\dfrac{1}{4}\] of a pizza. How much they eat in all.

Answer 1

Hint: Here we have to find the total part of pizza we have eaten. Here the data is in the form of fraction and we don’t know the total pieces of pizza. Since in the given data are in fraction the value of denominator is different so we find the LCM for the both the denominators and then we add the numbers. hence, we obtain the required solution for the given question.

Complete step by step solution:
Now consider the given data in the question.
Phil ate \[\dfrac{2}{5}\] of a pizza. The Caroline ate \[\dfrac{1}{4}\]
Here we have to find the total of pizza the both persons ate.
To find that we are going to use the addition arithmetic operation. Where the addition will add the numbers, the sign for the addition is +
On adding the \[\dfrac{2}{5}\] and \[\dfrac{1}{4}\] we write it as
 \[ \Rightarrow \dfrac{2}{5} + \dfrac{1}{4}\]
The denominators are different so we have to take LCM for the numbers 5 and 4. The LCM for the numbers 5 and 4 is 20
Therefore the above inequality is written as
 \[ \Rightarrow \dfrac{{\dfrac{2}{5} \times 20 + \dfrac{1}{4} \times 20}}{{20}}\]
On simplifying we have
 \[ \Rightarrow \dfrac{{2 \times 4 + 1 \times 5}}{{20}}\]
On further simplifying we have
 \[ \Rightarrow \dfrac{{8 + 5}}{{20}}\]
On adding the 8 and 5 we get
 \[ \Rightarrow \dfrac{{13}}{{20}}\]
Therefore the \[\dfrac{{13}}{{20}}\] of pizza they have eaten.
So, the correct answer is “ \[\dfrac{{13}}{{20}}\] ”.

Note: While adding the two fractions we need to check the values of the denominator, if both denominators are having the same value then we can add the numerators. Suppose if the fractions have different denominators, we have to take LCM for the denominators and we simplify for further.