Question

How are ratios similar to fractions?

Answer 1

Hint: From the question we have been asked to find the similarity in between the ratios and fractions. So, here for this question we will explain the ratio and fraction using their definition respectively and we will also explain the similarity using an example.
So, we will proceed with our solution as follows.

Complete step-by-step answer:
Generally, a ratio is the relationship between two things which can be numbers or anything. A relationship between two quantities normally expressed as the quotient of one divided by the other.
For example, the ratio of \[7\] to \[4\] can be expressed as \[7:4\] or \[\dfrac{7}{4}\].
Whereas a fraction tells us how many parts of a whole we are having. In fraction we have top number and bottom number which is numerator and denominator respectively.
For example, the fraction of half of the whole amount will be expressed as \[\dfrac{1}{2}\].
Now, from the definitions which we discussed about the fractions and ratios in mathematics we can conclude the similarity in between fraction and ratio as follows.
A ratio can be written in a fractional form with a numerator and a denominator.
However, ratios don’t follow the same rules as fractions.
From example we discussed above we can conclude that the ratio of \[7\] to \[4\] can be expressed as \[7:4\] or also as \[\dfrac{7}{4}\] which is a fraction.

Note: Students must have good knowledge in the definitions of fractions and ratios to answer the questions of this theory kind. Students must be careful in knowing the difference between the ratio and fraction that is can conclude that the ratio of \[7\] to \[4\] can be expressed as \[7:4\] or also as \[\dfrac{7}{4}\] which is a fraction. But, we cannot write the fraction \[\dfrac{1}{2}\] as \[1:2\].