Problem 1 :
= 1 2/3 + 3 1/4
Solution :
Converting the mixed fraction to improper fraction, we get
= 5/3 + 13/4
Least common multiple of 3 and 4 is 12.
= [5(4) + 13(3)]/12
= (20 + 39)/12
= 59/12
Converting the improper fraction to mixed fraction, we get
= 4 11/12
Problem 2 :
3 3/4 - 1 1/2
Solution :
= 3 3/4 - 1 1/2
Converting the mixed fraction to improper fraction, we get
= 15/4 - 3/2
Least common multiple of 4 and 2 is 4.
= [15(1) – 3(2)]/4
= (15 – 6)/4
= 9/4
Converting the improper fraction to mixed fraction, we get
= 2 1/4
Problem 3 :
3/4 - 2 1/2
Solution :
= 3/4 - 2 1/2
Converting the mixed fraction to improper fraction, we get
= 3/4 - 5/2
Least common multiple of 4 and 2 is 4.
= [3(1) – 5(2)]/4
= (3 - 10)/4
= -7/4
Converting the improper fraction to mixed fraction, we get
= -1 3/4
Problem 4 :
4 1/3 + 2 1/6
Solution :
= 4 1/3 + 2 1/6
Converting the mixed fraction to improper fraction, we get
= 13/3 + 13/6
Least common multiple of 3 and 6 is 6.
= [13(2) + 13(1)]/6
= (26 + 13)/6
= 39/6
= 13/2
Converting the improper fraction to mixed fraction, we get
= 6 1/2
Problem 5 :
2 2/3 - 5 5/6
Solution :
= 2 2/3 - 5 5/6
Converting the mixed fraction to improper fraction, we get
= 8/3 - 35/6
Least common multiple of 3 and 6 is 6.
= [8(2) – 35(1)]/6
= (16 - 35)/6
= -19/6
Converting the improper fraction to mixed fraction, we get
= - 3 1/6
Problem 5 :
-2 1/4 + 3 1/8
Solution :
= -2 1/4 + 3 1/8
Converting the mixed fraction to improper fraction, we get
= (-9/4) + 25/8
Least common multiple of 4 and 8 is 8.
= [(-9(2) + 25(1)]/8
= (-18 + 25)/8
= 7/8
Problem 7 :
4 1/5 - 2 1/6
Solution :
= 4 1/5 - 2 1/6
Converting the mixed fraction to improper fraction, we get
= 21/5 - 13/6
Least common multiple of 5 and 6 is 30.
= [(21(6) – 13(5)]/30
= (126 - 65)/30
= 61/30
= 13/2
Converting the improper fraction to mixed fraction, we get
= 2 1/30
Problem 8 :
2 1/3 + 1 1/6
Solution :
= 2 1/3 + 1 1/6
Converting the mixed fraction to improper fraction, we get
= 7/3 + 7/6
= [7(2) + 7(1)]/6
Least common multiple of 3 and 6 is 6.
=(14 + 7)/6
= 21/6
Converting the improper fraction to mixed fraction, we get
= 3 1/2
Problem 9 :
1 1/2 + 4 2/3
Solution :
= 1 1/2 + 4 2/3
Converting the mixed fraction to improper fraction, we get
= 3/2 + 14/3
= [3(3) + 14(2)]/6
Least common multiple of 3 and 2 is 6.
= (9 + 28)/6
= 37/6
Converting the improper fraction to mixed fraction, we get
= 6 1/6
Problem 10 :
3 1/3 - 1 1/2
Solution :
= 3 1/3 - 1 1/2
Converting the mixed fraction to improper fraction, we get
= 10/3 - 3/2
Least common multiple of 3 and 2 is 6.
= [10(2) – 3(3)]/6
= (20 - 9)/6
= 11/6
Converting the improper fraction to mixed fraction, we get
= 1 5/6
Problem 11 :
4 3/7 - 2 1/3
Solution :
= 4 3/7 - 2 1/3
Converting the mixed fraction to improper fraction, we get
= 31/7 - 7/3
Least common multiple of 7 and 3 is 21.
= [31(3) – 7(7)]/21
= (93 - 49)/21
= 44/21
Converting the improper fraction to mixed fraction, we get
= 2 2/21
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM