Fractions of a number: word problems

Learning Objectives Interpret the phrase 'fraction of a number' in various word problem contexts. Translate word problems involving fractions of a number into appropriate mathematical expressions. Solve problems where a fraction of a given whole number needs to be calculated. Solve problems where the whole number needs to be found, given a part and its fractional representation. Apply fraction multiplication and division to solve multi-step word problems. Check the reasonableness of their answers in the context of the word problem. Ever wonder how much pizza is left after your friends eat a 'fraction' of it? 🍕 Understanding fractions of a number helps us solve everyday puzzles! In this tutorial, you'll learn how to break down word problems that ask...

TermDefinitionExample FractionA number that represents a part of a whole. It is written as a numerator over a denominator (e.g., 1/2, 3/4).If you eat 1 slice out of a pizza cut into 8 slices, you've eaten 1/8 of the pizza. NumeratorThe top number in a fraction, indicating how many parts of the whole are being considered.In the fraction 3/5, the numerator is 3, meaning we are considering 3 parts. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In the fraction 3/5, the denominator is 5, meaning the whole is divided into 5 equal parts. WholeThe entire amount or quantity from which a fraction is taken.If there are 20 students in a class, 20 is the whole number of students. PartA portion or segment of the whole, often repres...

Finding a Part When Given the Whole and a Fraction $$ \text{Part} = \text{Fraction} \times \text{Whole} $$ To find a specific portion (part) of a total amount (whole) when you know the fraction representing that portion, multiply the fraction by the whole number. Remember that 'of' means multiply. Finding the Whole When Given a Part and a Fraction $$ \text{Whole} = \text{Part} \div \text{Fraction} $$ or $$ \text{Whole} = \text{Part} \times \frac{\text{Denominator}}{\text{Numerator}} $$ To find the total amount (whole) when you know a specific portion (part) and the fraction it represents, divide the part by the fraction. Dividing by a fraction is equivalent to multiplying by its reciprocal.