What length of wood remains when 2½ yards is cut from 4 ¼ yards
4 1/4 - 2 2/4
= 3 5/4 - 2 2/4
= 1 3/4
always check
1 3/4 + 2 2/4 = 3 5/4 = 3 + 1 + 1/4 = 4 1/4
To find the length of wood that remains when 2½ yards is cut from 4 ¼ yards, you need to subtract 2½ yards from 4 ¼ yards.
First, convert 4 ¼ yards to a fraction. The denominator of the fraction will be 4 because there are 4 quarters in a whole.
4 ¼ = 4 + ¼ = 16/4 + 1/4 = 17/4
Now, subtract 2½ yards from 17/4 yards:
17/4 - 2½
To subtract fractions, the denominators must be the same. The denominator of 2½ is 2 because there are 2 halves in a whole.
Convert 2½ to a fraction with the same denominator as 17/4:
2½ = 2 + ½ = 4/2 + 1/2 = 5/2
Now, subtract 5/2 from 17/4:
17/4 - 5/2
To subtract fractions, you need to have the same denominator. The denominator of 17/4 is already 4, but the denominator of 5/2 is 2. So, you need to change the denominator of 5/2 to 4.
To convert 2 to 4, multiply both the numerator and denominator by 2:
5/2 * 2/2 = 10/4
Now, you can subtract 5/2 from 17/4:
17/4 - 10/4
Subtracting the numerators, you get:
7/4
So, the length of wood that remains when 2½ yards is cut from 4 ¼ yards is 7/4 yards.