Question

Merril cuts 6 apple pies into halves. How many \[\dfrac{1}{2}\] size pie pieces does she have?

Answer 1

Hint: A ratio is a mathematical expression written in the form of \[a:b\], where a and b are integers and b is not equal to 0 and it expresses a fraction. Here, to find the \[\dfrac{1}{2}\] size apple pie pieces, we need to consider the given data that, there are total 6 apple pies in which Merril cuts those 6 apple pies into halves, hence considering this we need to find the \[\dfrac{1}{2}\] size apple pie pieces.

Complete step by step solution:
Let us write the given data,
Merril has 6 apples pies which she cuts those 6 apple pies into halves, hence, to find \[\dfrac{1}{2}\] size pie pieces, we need to divide 6 apple pies by \[\dfrac{1}{2}\] i.e.,
\[ \Rightarrow \dfrac{6}{{\dfrac{1}{2}}}\]
Hence, to divide the numerator and denominator terms, we need to evaluate it as:
\[ \Rightarrow 6 \times \dfrac{2}{1}\]
Multiplying the terms, we have:
\[ \Rightarrow \dfrac{{6 \times 2}}{1}\]
\[ \Rightarrow \dfrac{{12}}{1}\]
\[ \Rightarrow 12\] pieces
Therefore, she has 12 pieces of \[\dfrac{1}{2}\] size apple pie pieces.

Note: The key point to solve the given question, is that we need to consider the given data and compare it to find the asked data such that the ratio should exist between the quantities of the same kind and while comparing two things, the units should be similar. There should be significant order of terms and the comparison of two ratios can be performed, if the ratios are equivalent like the fractions. Hence, in this way we need to solve the question, comparing with the given data.