Answer :
To write the ratio of 22 inches to 44 inches in fractional notation and simplify it to its lowest terms, follow these steps:
1. Understand the ratio: The ratio of 22 inches to 44 inches can initially be written as the fraction [tex]\( \frac{22}{44} \)[/tex].
2. Find the greatest common divisor (GCD): To simplify the fraction, we need to find the greatest common divisor of the numerator (22) and the denominator (44). The greatest common divisor is the largest number that divides both numbers exactly.
3. Divide by the GCD: The GCD of 22 and 44 is 22. So, divide both the numerator and the denominator by 22:
- [tex]\( \frac{22}{22} = 1 \)[/tex]
- [tex]\( \frac{44}{22} = 2 \)[/tex]
4. Write the simplified fraction: After dividing both the numerator and the denominator by the GCD, the simplified ratio is [tex]\( \frac{1}{2} \)[/tex].
So, the ratio of 22 inches to 44 inches in fractional notation in its lowest terms is [tex]\( \frac{1}{2} \)[/tex].
1. Understand the ratio: The ratio of 22 inches to 44 inches can initially be written as the fraction [tex]\( \frac{22}{44} \)[/tex].
2. Find the greatest common divisor (GCD): To simplify the fraction, we need to find the greatest common divisor of the numerator (22) and the denominator (44). The greatest common divisor is the largest number that divides both numbers exactly.
3. Divide by the GCD: The GCD of 22 and 44 is 22. So, divide both the numerator and the denominator by 22:
- [tex]\( \frac{22}{22} = 1 \)[/tex]
- [tex]\( \frac{44}{22} = 2 \)[/tex]
4. Write the simplified fraction: After dividing both the numerator and the denominator by the GCD, the simplified ratio is [tex]\( \frac{1}{2} \)[/tex].
So, the ratio of 22 inches to 44 inches in fractional notation in its lowest terms is [tex]\( \frac{1}{2} \)[/tex].
