Understanding Fractions
What is a fraction?
A fraction is a part of a whole, represented by a numerator (top number) and a denominator (bottom number).
What is 1/2+1/2 =
What is 3/4−1/4=
1/2
What is a mixed number?
A mixed number is a whole number combined with a fraction
Belle had 3½ liters of fruit juice. She served 1¼ liters at a party.
How much juice does she have left?
2¼ liters
What is the numerator and denominator?
The numerator is the top number that shows how many parts we have, and the denominator is the bottom number that shows how many equal parts the whole is divided into.
How do you add fractions with the same denominator?
To add fractions with the same denominator, keep the denominator the same and add the numerators.
How do you subtract fractions with the same denominator?
To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators.
How do you add mixed numbers?
To add mixed numbers, add the whole numbers and then add the fractions. If the fraction sum is improper, convert it to a mixed number.
Tomás rode his bike 6⅓ miles on Monday and 2¾ miles on Tuesday.
How much farther did he ride on Monday than Tuesday?
3⅞ miles
What does it mean for fractions to be equivalent?
Equivalent fractions are different fractions that represent the same value or proportion of a whole.
Add 2/3+1/3=
3/3=1
Subtract 5/6−1/6=
4/6
Add 2 1/2+3 1/2=
6
A recipe calls for 4⅗ cups of flour. Dora already added 3⅚ cups.
How much more flour does she need?
23/30 cups
What is a mixed number?
A mixed number is a whole number combined with a fraction (e.g., 212221).
Add 5/12 + 6/10 =
61/60 or 1 1/60
Subtract 5/96 - 2/4=
43/96
Subtract 5 1/3 - 2 1/3 =
3
Rafa holds 12⅓ gallons of water. After drinking some, only 6¾ gallons remain.
How much water did he drink?
5⅞ gallons
How do you convert an improper fraction to a mixed number?
To convert an improper fraction to a mixed number, divide the numerator by the denominator, which gives you the whole number, and the remainder becomes the numerator of the fractional part.
12/125 + 4/500 =
52/500
3/7 - 6/777
109/259
10 2/5 - 7 4/20
3 1/5
Ava is making a dress. She started with 9½ yards of fabric and used 6⅚ yards.
How much fabric does she have left?
2⅔ yards