what is 320/380 (or in fraction term) in lowest terms? and what is 54 over 126 in lowest terms?
320/280
Let's start by dividing the numerator and the denominator by 10
32/38
Obviously both are divisible by 2.
16/19
Do the second problem the same way. Find an obvious divisor -- and keep going.
To find the fraction in lowest terms, we need to simplify it by dividing both the numerator and the denominator of the given fraction by their greatest common divisor (GCD).
1. Fraction 320/380 in lowest terms:
- First, find the GCD of 320 and 380. The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320. The factors of 380 are 1, 2, 5, 10, 19, 20, 38, 76, 95, 190, and 380.
- The common factors are 1, 2, 5, 10, and 20. The GCD is 20.
- Divide both the numerator and the denominator by the GCD:
320 ÷ 20 = 16
380 ÷ 20 = 19
- Therefore, the fraction 320/380 in lowest terms is 16/19.
2. Fraction 54/126 in lowest terms:
- Start by finding the GCD of 54 and 126. The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.
- The common factors are 1, 2, 3, 6, 9, and 18. The GCD is 18.
- Divide both the numerator and the denominator by the GCD:
54 ÷ 18 = 3
126 ÷ 18 = 7
- Therefore, the fraction 54/126 in lowest terms is 3/7.