take the fractions below, write them in their simplest form, then come up with three equivalent fractions for each:
A. 88/100
B. 24/30
C. 55/88
88/100
Divide the numerator and denominator by 4.
88/100 = 22/25
For equivalent fractions, multiply the numerator and denominator by the same number.
22/25 = 44/50 = 66/75 = 110/125
I'll be glad to check your answers for B and C.
To write a fraction in its simplest form, you need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.
A. Fraction 88/100:
Step 1: Find the GCD of 88 and 100. The factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The common factors are 1, 2, and 4. So the GCD of 88 and 100 is 4.
Step 2: Divide both the numerator and the denominator by the GCD:
88 ÷ 4 = 22
100 ÷ 4 = 25
Therefore, the simplified form of 88/100 is 22/25.
Equivalent fractions for 88/100:
- One way to find equivalent fractions is to multiply both the numerator and the denominator by the same non-zero number. Here are three equivalent fractions for 88/100:
1. (22 x 2) / (25 x 2) = 44/50
2. (22 x 3) / (25 x 3) = 66/75
3. (22 x 5) / (25 x 5) = 110/125
B. Fraction 24/30:
Step 1: Find the GCD of 24 and 30. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The common factors are 1, 2, 3, and 6. So the GCD of 24 and 30 is 6.
Step 2: Divide both the numerator and the denominator by the GCD:
24 ÷ 6 = 4
30 ÷ 6 = 5
Therefore, the simplified form of 24/30 is 4/5.
Equivalent fractions for 24/30:
1. (4 x 2) / (5 x 2) = 8/10
2. (4 x 3) / (5 x 3) = 12/15
3. (4 x 4) / (5 x 4) = 16/20
C. Fraction 55/88:
Step 1: Find the GCD of 55 and 88. The factors of 55 are 1, 5, 11, and 55. The factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88. The common factor is 11. So the GCD of 55 and 88 is 11.
Step 2: Divide both the numerator and the denominator by the GCD:
55 ÷ 11 = 5
88 ÷ 11 = 8
Therefore, the simplified form of 55/88 is 5/8.
Equivalent fractions for 55/88:
1. (5 x 2) / (8 x 2) = 10/16
2. (5 x 3) / (8 x 3) = 15/24
3. (5 x 4) / (8 x 4) = 20/32