Question

What fraction of the candles on the cake is lit?

(A). \[\dfrac{4}{7}\]
(B). $\dfrac{4}{3}$
(C). $\dfrac{3}{7}$
(D). $\dfrac{1}{4}$

Answer 1

Hint: In these basic types of questions you can approach easily by separating the lit candles and candles which are not lit use this information to answer the given problem also if you don’t know the meaning of lit candles in this question so it means the candles which are lighted.

Complete step-by-step solution -
Since we know the general formula of fraction i.e. fraction = $\dfrac{\text{Number of Parts}}{\text{Total number of parts}}$
Let’s first count the total numbers of candles that are present on the cake
So according to the given diagram, we can say that the total candles present in the cake are 7
Let’s find the numbers of lit candles present on the cake
So there are 4 lit candles on the cake according to the given diagram
Fraction of the lit candles on the cake = $\dfrac{\text{Number of lit candles}}{\text{Total numbers of candles present on the cake}}$
Therefore fraction of lit candles on the cake = $\dfrac{4}{7}$
Hence option A is the correct option.

Note: Here in the above solution the question was based on the concept of the fraction is a representation of the part of a whole-body which is divided into equal parts let’s understand with the help of an example suppose you have a pizza which is sliced into 4 equal parts so if you have eaten 2 pieces of pizza then how you can represent the remaining pieces of pizza so here the concept of fraction helps in representing by the general formula of fraction i.e. (number of parts) / (total numbers of parts) Here the number of parts is represented by the numerator and the total numbers of parts is represented by the denominator.