Sam had 4/5 yards of yarn. He used 3/8 of the yarn. How many yards of yarn did he use? Put your answers in lowest terms.
what is 4/5 - 3/8 ?
To find out how many yards of yarn Sam used, we'll need to multiply the amount of yarn he had by the fraction that represents how much he used.
Sam had 4/5 yards of yarn, and he used 3/8 of it.
To multiply fractions, you simply multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom).
So, to find out how much yarn Sam used, we multiply:
(4/5) * (3/8) = (4 * 3)/(5 * 8) = 12/40.
However, we need to simplify the fraction to its lowest terms. In this case, both the numerator and denominator are divisible by 4:
12/40 = (12 ÷ 4) / (40 ÷ 4) = 3/10.
So, Sam used 3/10 yards of yarn.
To find out how many yards of yarn Sam used, we need to multiply the amount of yarn he had (4/5) by the fraction of yarn he used (3/8).
So, the calculation is:
(4/5) * (3/8) = (4 * 3) / (5 * 8) = 12/40
The fraction 12/40 can be simplified by finding a common factor for the numerator (12) and the denominator (40). In this case, the greatest common factor for 12 and 40 is 4.
Dividing both numerator and denominator by 4, we get:
12/40 = (12/4) / (40/4) = 3/10
Therefore, Sam used 3/10 yards of yarn.