1. [tex]\frac{4}{5} - \frac{3}{2} =[/tex]
2. [tex]\frac{7}{3} - \frac{2}{8} =[/tex]
3. [tex]\frac{6}{4} - \frac{3}{4} =[/tex]
4. [tex]\frac{7}{4} - \frac{5}{8} =[/tex]
5. [tex]\frac{3}{4} - \frac{1}{4} =[/tex]
Answer (1)
Let's work through each of the subtraction problems involving fractions one by one.
5 4 − 2 3
To subtract these fractions, first find a common denominator. The denominators are 5 and 2. The least common multiple of these is 10.
5 4 = 5 × 2 4 × 2 = 10 8 2 3 = 2 × 5 3 × 5 = 10 15
Now subtract them: 10 8 − 10 15 = 10 8 − 15 = 10 − 7
3 7 − 8 2
Again, find a common denominator. The denominators are 3 and 8. The least common multiple is 24.
3 7 = 3 × 8 7 × 8 = 24 56 8 2 = 8 × 3 2 × 3 = 24 6
Now subtract them: 24 56 − 24 6 = 24 56 − 6 = 24 50
Simplifying 24 50 by dividing both numerator and denominator by 2: 24 ÷ 2 50 ÷ 2 = 12 25
4 6 − 4 3
These fractions already have the same denominator, so you can subtract directly: 4 6 − 4 3 = 4 6 − 3 = 4 3
4 7 − 8 5
Find a common denominator for 4 and 8, which is 8.
4 7 = 4 × 2 7 × 2 = 8 14
Now subtract them: 8 14 − 8 5 = 8 14 − 5 = 8 9
4 3 − 4 1
These fractions already have the same denominator, so you can subtract directly: 4 3 − 4 1 = 4 3 − 1 = 4 2
Simplifying 4 2 by dividing both numerator and denominator by 2: 4 ÷ 2 2 ÷ 2 = 2 1
I hope this helps you understand how to perform each subtraction problem step by step!
