Name that LCD
Name the LCD for the following pair of fractions:
1/4 and 3/4
LCD: 4 !
Add the following fractions. Reduce to lowest terms if necessary:
3/7 + 2/7
3/7 + 2/7 = 5/7
(No LCD needed, denominators are already the same!)
Subtract the following fractions. Reduce to lowest terms if necessary:
9/10 - 6/10
9/10 - 6/10 = 3/10
(No LCD needed, denominators are already the same!)
Convert the following mixed number to improper fraction (reduce to lowest terms if necessary):
1 3/4
= 7/4 !
(4x1 = 4,
4 + 3 = 7)
Simplify the following fraction: 2/4
= 1/2
(divide both numerator and denominator by 2)
Name the LCD for the following pair of fractions:
1/2 and 3/8
LCD: 8 !
Add the following fractions. Reduce to lowest terms if necessary:
5/12 + 6/12
5/12 + 6/12 = 11/12
(No LCD needed, denominators are already the same!)
Subtract the following fractions. Reduce to lowest terms if necessary:
12/13 - 3/13
12/13 - 3/13 = 9/13
(No LCD needed, denominators are already the same!)
Convert the following improper fraction to mixed number (reduce to lowest terms if necessary):
11/2
= 5 1/2 !
(How many times does 2 go into 11 without going over? 2 x 5 = 10 with 1/2 left over!)
Simplify the following fraction: 5/30
= 1/6
(divide both numerator and denominator by 5)
Name the LCD for the following pair of fractions:
5/7 and 9/14
LCD: 14 !
Add the following fractions. Reduce to lowest terms if necessary:
3/4 + 1/8
3/4 + 1/8 =
6/4 + 1/8 = 7/8
(LCD = 8, make equivalent fractions, add)
Subtract the following fractions. Reduce to lowest terms if necessary:
3/5 - 1/10
3/5 - 1/10 =
6/10 - 1/10 = 5/10 = 1/5
(LCD = 10, make equivalent fractions, subtract, reduce!)
Convert the following mixed number to improper fraction (reduce to lowest terms if necessary):
4 3/7
= 31/7 !
(4x7 = 28,
28 + 3 = 31)
Simplify the following fraction: 7/49
= 1/7
(divide both numerator and denominator by 7)
Name the LCD for the following pair of fractions:
2/5 and 5/6
LCD: 30 !
Add the following fractions. Reduce to lowest terms if necessary:
7/10 + 1/20
7/10 + 1/20 =
14/20 + 1/20 = 15/20 = 3/4
(LCD = 20, make equivalent fractions, add, reduce!)
Subtract the following fractions. Reduce to lowest terms if necessary:
5/18 - 1/9
5/18 - 1/9 =
5/18 - 2/18 = 3/18 = 1/6
(LCD = 18, make equivalent fractions, subtract, reduce!)
Convert the following improper fraction to mixed number (reduce to lowest terms if necessary):
19/3
= 6 1/3 !
(How many times does 3 go into 19 without going over? 3 x 6 = 18 with 1/3 left over!)
Simplify the following fraction: 20/100
= 1/5
(divide both numerator and denominator by 20)
Name the LCD for the following pair of fractions:
9/10 and 1/8
LCD: 40 !
Add the following fractions. Reduce to lowest terms if necessary:
1/4 + 3/5
1/4 + 3/5 =
5/20 + 12/20 = 17/20
(LCD = 20, make equivalent fractions, add)
Subtract the following fractions. Reduce to lowest terms if necessary:
4/5 - 2/3
4/5 - 2/3 =
12/15 - 10/15 = 2/15
(LCD = 15, make equivalent fractions, subtract)
Covert the following improper fraction to mixed number (reduce to lowest terms if necessary):
28/7
= 4 !
(How many times does 7 go into 28 without going over? 7 x 4 = 28 with nothing left over!)
Simplify the following fraction: 12/36
= 1/3
(divide both numerator and denominator by 12)