Write the ratio 20 inches to 3 feet using fractional notation. Simplify the fraction to lowest terms. Use 1 foot = 12 inches to first write feet as inches.(1 point)
1 foot = 12 inches
3 feet = 3 x 12 inches = 36 inches
Ratio of 20 inches to 36 inches can be written as:
20/36
This fraction can be simplified to lowest terms by dividing both numerator and denominator by the greatest common factor which is 4:
20/36 = 5/9
Therefore, the ratio of 20 inches to 3 feet in fractional notation simplified to lowest terms is 5/9.
To convert feet to inches, we will use the conversion factor of 1 foot = 12 inches.
3 feet = 3 * 12 inches = 36 inches
The ratio 20 inches to 3 feet can be written as 20/36.
To simplify this fraction to its lowest terms, we divide both the numerator and the denominator by their greatest common divisor.
The greatest common divisor of 20 and 36 is 4.
20 ÷ 4 = 5
36 ÷ 4 = 9
Therefore, the simplified fraction is 5/9.
To write the ratio 20 inches to 3 feet using fractional notation, we first need to convert feet to inches using the conversion factor 1 foot = 12 inches.
1 foot = 12 inches
So, 3 feet = 3 × 12 inches = 36 inches.
Now, the ratio becomes 20 inches : 36 inches.
To write this ratio as a fraction, we can write it as 20/36.
But we can simplify this fraction to its lowest terms.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 20 and 36 is 4.
So, dividing both 20 and 36 by 4, we get:
20/4 : 36/4
This simplifies to:
5/9
Therefore, the simplified fraction of the ratio 20 inches to 3 feet is 5/9.