A piece of metal 3 7/8 inches long is to be cute from a longer piece of 5 1/16 inches.What will be the length of the remaining piece?
make sure all the parts with fractions have the same denominator, then it should be easy.
7/8 = 14/16
So: 5 and 1/16 - 3 and 14/16
First, you need the common denominator -- so 3 7/8 = 3 14/16
5 1/16 - 3 14/16
Change: 5 1/16 to 4 17/16
4 17/16 - 3 14/16 = ?
So 1 3/16?But how did you change th 5 1/16 to 4 17/16?
To find the length of the remaining piece, you need to subtract the length of the metal that is being cut from the longer piece.
Given:
Length of the longer piece = 5 1/16 inches
Length of the metal to be cut = 3 7/8 inches
To subtract mixed numbers, follow these steps:
1. Convert both mixed numbers into improper fractions.
2. Find a common denominator for the fractions.
3. Subtract the numerators and keep the common denominator.
4. Simplify the resulting fraction, if necessary.
Let's convert the mixed numbers into improper fractions:
5 1/16 = (5 * 16 + 1)/16 = 81/16
3 7/8 = (3 * 8 + 7)/8 = 31/8
Now, we subtract the two fractions:
81/16 - 31/8
To find the common denominator, we take the least common multiple (LCM) of the denominators 16 and 8, which is 16. So, we rewrite the fractions with a common denominator:
(81/16) - (62/16)
Next, we subtract the numerators and keep the common denominator:
(81 - 62)/16 = 19/16
The resulting fraction, 19/16, is an improper fraction. To convert it back to a mixed number, divide the numerator (19) by the denominator (16) and express the remainder as a fraction:
19 ÷ 16 = 1 remainder 3
Therefore, the length of the remaining piece is 1 3/16 inches.