Question

Define like and unlike fractions and give five examples of each.

Answer 1

Hint: In the given question, we have been asked the definition of like fractions and the definition of unlike fractions. Then, we are to give five examples of each. For answering this question, it is an important point to remember that like fractions or unlike fractions are not just one fraction, but rather are two or more fractions with some particular properties. The difference between the like and unlike fractions is just the denominator.

Complete answer:
Like fractions are fractions which have equal denominators. For example,
1)\[\dfrac{1}{6},\dfrac{2}{6},\dfrac{3}{6}\]
2) \[\dfrac{4}{5},\dfrac{8}{5},\dfrac{{12}}{5},\dfrac{{16}}{5}\]
3) \[\dfrac{1}{2},\dfrac{2}{2}\]
4) \[\dfrac{6}{{33}},\dfrac{{12}}{{33}},\dfrac{{16}}{{33}}\]
5) \[\dfrac{4}{3},\dfrac{{10}}{3},\dfrac{{16}}{3}\]
Now, unlike fractions are fractions which have an unequal denominator. For example,
1)\[\dfrac{1}{6},\dfrac{2}{{63}},\dfrac{3}{2}\]
2) \[\dfrac{4}{5},\dfrac{8}{{22}},\dfrac{{12}}{{122}},\dfrac{{16}}{{79}}\]
3) \[\dfrac{1}{2},\dfrac{2}{{316}}\]
4) \[\dfrac{6}{{33}},\dfrac{{12}}{{21}},\dfrac{{16}}{{982}}\]
5) \[\dfrac{4}{{22}},\dfrac{{10}}{{3211}},\dfrac{{16}}{{94}}\]

Note: So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. Then we think about the concept or formula which contains the known and the unknown and pick the one which is the most suitable and the most effective for finding the answer of the given question. Then we use the results or finding of the concept and apply it to our question. It is really important to know and follow all the results of the concepts if we have to solve the question correctly, as one slightest error gives the incorrect result.