Adding Mixed Numbers
5 8/10
6 4/5 - 3 2/5 = ?
3 2/5
3 x 1/5 = ?
3/5
1/2 ______ 3/4
2/4 < 3/4
Denominator: 4
Multiplied the numerator and denominator of 1/2 by 2 ONLY since 4 is a multiple of 2.
LESS THAN
Are 1/2 and 10/18 equivalent? Why or Why not?
No, because 1/2 = 9/18.
9/18 is not equal to 10/18.
3 1/12 + 9 8/12 = ?
12 9/12 OR 12 3/4
12 11/12 - 5 6/12 = ?
7 5/12
7 x 1/3 = ?
7/3 OR 2 1/3
1/2 ______ 4/5
5/10 < 8/10
Denominator: 10
Multiplied the numerator and denominator by 2
LESS THAN
Are 3/4 and 16/20 equivalent? Why or why not?
NO, because 3/4 = 15/20.
15/20 is not equal to 16/20.
5 2/3 + 6 1/3 = ?
12 not 11 3/3
7 1/3 - 5 = ?
2 1/3
8 x 2/5 = ?
16/5 OR 3 1/5
2/4 _____ 5/8
4/8 < 5/8
Denominator: 8
Multiplied the numerator and denominator 2 to get 8 as the common denominator.
LESS THAN
Are 3/7 and 4/8 equivalent? Why or why not?
NO, 3/7 = 24/56
and 4/8 = 28/56.
24/56 is not equal to 28/56.
6 2/5 + 8 4/5 = ?
15 1/5 not 14 6/5
8 - 4 2/5 = ?
3 3/5
6 x 1/2 = ?
6/2 OR 3
3/7 _______ 5/9
Benchmark: 3/7 < 1/2 and 5/9 > 1/2
so 3/7 < 5/9
LESS THAN
Are 2/5 and 40/100 equivalent fractions? Why or why not?
YES, 2/5 x 20/20 = 40/100.
We multiplied the numerator and the denominator by the same number (20).
12 5/7 + 9 4/7 = ?
5 1/4 - 3 3/4 = ?
1 2/4 or 1 1/2
Write the answer as a whole number:
12 x 6/9
72/9 = 72 divided by 9 = 8
3/16 ________ 4/19
Common Denominator: 16 x 19 = 304
57/304 < 64/304
LESS THAN
Yes! 3 1/2 = 7/2
7/2 x 4/4 = 28/8
OR
Write 28/8 as 3 and 4/8 which is equal to 3 and 1/2