Question

A sweet dish requires 300 g sugar and 900 g flour. What is the fraction of sugar in the sweet?

Answer 1

Hint: In the above question, a sweet dish contains 300 g of sugar and 900 g of flour. Here the total weight of the sweet dish is the sum of the weights of sugar and floor. If we need to find the fraction of sugar in the sweet then we have to divide the weight of sugar by the weight of the total mixture of sugar and flour.

Complete step-by-step answer:
Sugar required for a sweet dish = 300 g
Flour required for a sweet dish = 900 g
Weight to total mixture of Sugar and Flour = (300 + 900) g = 1200 g
Fraction of sugar in the sweet = \[\dfrac{{300}}{{1200}} = \dfrac{1}{4}\].
Therefore, the fraction of sugar in the sweet is $\dfrac{1}{4}$.

Note: In this question if we need to find the total fraction of flour, then we have to divide the weight of flour in the sweet dish and weight of total mixture of sugar and flour. For example: Fraction of flour in the sweet dish = $\dfrac{{900}}{{1200}} = \dfrac{3}{4}$.
Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. Fraction consists of numerator and denominator. Denominators cannot be zero, because zero parts can never make up a whole. A ratio is a relationship between two or more numbers that can be sometimes expressed as a fraction. A ratio is often converted to a fraction when it is expressed as a ratio to the whole.