Why is 6/8 not equivalent to 18/32 ??
first, try to get the denominators equal, meaning you multiply 6/8 by 4/4.when you do, you will find that 6/8=16/32, not 18/32
thank you
plaplapla
To determine if two fractions are equivalent, we need to find the simplest form of each fraction and compare them. In order to simplify a fraction, we 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.
Let's simplify the fractions 6/8 and 18/32 step by step:
For 6/8:
1. Find the GCD of 6 and 8. The divisors of 6 are 1, 2, 3, and 6, while the divisors of 8 are 1, 2, 4, and 8. The greatest common divisor of 6 and 8 is 2.
2. Divide both the numerator and denominator by 2: 6 ÷ 2 = 3, and 8 ÷ 2 = 4.
3. Simplified fraction: 3/4.
For 18/32:
1. Find the GCD of 18 and 32. The divisors of 18 are 1, 2, 3, 6, 9, and 18, while the divisors of 32 are 1, 2, 4, 8, 16, and 32. The greatest common divisor of 18 and 32 is 2.
2. Divide both the numerator and denominator by 2: 18 ÷ 2 = 9, and 32 ÷ 2 = 16.
3. Simplified fraction: 9/16.
As we can see, 6/8 simplifies to 3/4, while 18/32 simplifies to 9/16. Therefore, 6/8 is not equivalent to 18/32.