Fractions Flashcards
How do you add/subtract fractions?
Fractions with the same denominators can be added (or subtracted) by adding (or subtracting) the numerators.
If two fractions do not have the same denominator, then find a common denominator by making equivalent fractions.
How do you find equivalent fractions?
Equivalent fractions are made by multiplying or dividing the denominator and numerator of the fraction by the same number.
For example, to find fractions that are equivalent to 1/3, multiply the numerator and denominator by the same number.
1/3 x 2 = 2/6
Multiplying or dividing both parts of a fraction by the same number will always create equivalent fractions. There are an infinite amount of equivalent fractions that can be found because there is an infinite amount of numbers to multiply by.
3/8 is equivalent to ?/24. Find the missing number.
Look at the two fractions to see what multiplier has been used. In this case, the denominators are both known: 8 and 24. 8 has been multiplied by 3 to get a new denominator of 24. This means the numerator also has to be multiplied by 3:
3 x 3 = 9
The answer is 9/24.
Explain mixed fractions and improper fractions.
Mixed numbers and improper fractions are worth the same amount as one another but are written differently. Mixed numbers are made up of a whole number and a separate fraction. Improper fractions do not show whole numbers separately and the numerator is bigger than the denominator. For example, 3 1/4 (mixed number) is equal to 13/4 (improper fraction).