Equivalent & Simplified Fractions Flashcards

All 6 cards in this deck

What is an equivalent fraction?

A fraction of the same value, made by multiplying or dividing the numerator and denominator by the same number.

e.g. $\frac{3}{4}=\frac{6}{8}$

What does it mean for a fraction to be in its simplest form?

The numerator and denominator have no common factor other than 1.

What are the steps to write a fraction in its simplest form?

e.g. $\frac{12}{18}$

1. Find the highest common factor of the numerator and denominator: 6
2. Divide both by it: $\frac{12\div 6}{18\div 6}=\frac{2}{3}$

What are the steps to write one quantity as a fraction of another in its simplest form?

e.g. 60 m as a fraction of 1000 m

1. Write it as $\frac{\text{part}}{\text{whole}}$: $\frac{60}{1000}$
2. Divide both by their highest common factor (20): $\frac{3}{50}$

True or false? Multiplying the numerator and the denominator by the same number changes the value of a fraction.

False.

It gives an equivalent fraction of the same value, e.g. $\frac{2}{5}=\frac{8}{20}$.

How do you find a common denominator for two fractions?

e.g. $\frac{2}{5}$ and $\frac{1}{4}$

Use a common multiple of the two denominators and make equivalent fractions.

20 works: $\frac{8}{20}$ and $\frac{5}{20}$.