Lucy saws a wooden rod into two pieces. The larger piece is 7 3/4 inches long. The original rod was 9 1/8 inches long. How many inches long is the resulting smaller piece?
that's not right
To find the length of the resulting smaller piece, we need to subtract the length of the larger piece from the length of the original rod.
Original length: 9 1/8 inches
Length of the larger piece: 7 3/4 inches
To subtract these fractions, we need to find a common denominator. The least common multiple of 8 and 4 is 8.
Converting 9 1/8 and 7 3/4 to the common denominator:
9 1/8 = 73/8
7 3/4 = 31/4
Now we can subtract the fractions:
73/8 - 31/4
To subtract these fractions, we need to make the denominators the same.
73/8 - 31/4 = (73/8) - (62/8)
To subtract fractions with the same denominator, subtract the numerators:
(73-62)/8 = 11/8
Therefore, the resulting smaller piece is 11/8 inches long, which is equal to 1 3/8 inches.
Lucy saws a wooden rod into two pieces. The larger piece is 7 3/4 inches long. The original rod was 9 1/8 inches long. How many inches long is the resulting smaller piece?(1 point)
Responses
16 7/8
16 Start Fraction 7 over 8 End Fraction
2
2
2 5/8
2 Start Fraction 5 over 8 End Fraction
1 3/8
To find the length of the resulting smaller piece, we need to subtract the length of the larger piece from the length of the original rod.
The original rod was 9 1/8 inches long, and the larger piece is 7 3/4 inches long.
To subtract these two measurements, we first need to make sure they have the same denominator.
The denominators are 8 and 4, so we can convert them both to eighths.
9 1/8 is equivalent to 72/8 + 1/8 = 73/8
7 3/4 is equivalent to 28/4 + 3/4 = 31/4
Now we can subtract the lengths:
73/8 - 31/4
To subtract fractions, we need to have a common denominator, which in this case is 8.
Since 31/4 is equivalent to 62/8 (multiply both the numerator and denominator by 2), we can subtract:
73/8 - 62/8 = 11/8
So, the resulting smaller piece is 11/8 inches long.
To convert this fraction into a mixed number, divide the numerator by the denominator:
11 ÷ 8 = 1 remainder 3
So the resulting smaller piece is 1 3/8 inches long.
The length of the original rod is 9 1/8 inches, and the larger piece is 7 3/4 inches long, so the smaller piece is the difference between the original rod and the larger piece, which is:
9 1/8 - 7 3/4 = (9*8 + 1)/8 - (7*8 + 3)/4
= (72 + 1)/8 - (56 + 3)/4
= 73/8 - 59/4
= 73/8 - 118/8
= (73 - 118)/8
= (-45)/8
= -5 5/8
So the resulting smaller piece is -5 5/8 inches long.
Apologies for the incorrect response.
To find the length of the resulting smaller piece, we need to subtract the length of the larger piece from the length of the original rod.
Original length: 9 1/8 inches
Length of the larger piece: 7 3/4 inches
To subtract these fractions, we need to find a common denominator. The least common multiple of 8 and 4 is 8.
Converting 9 1/8 and 7 3/4 to the common denominator:
9 1/8 = 73/8
7 3/4 = 31/4
Now we can subtract the fractions:
73/8 - 31/4
To subtract these fractions, we need to make the denominators the same.
73/8 - 31/4 = (73/8) - (31/4)
To subtract fractions with the same denominator, subtract the numerators:
(73-31)/8 = 42/8
Simplifying the fraction:
42/8 = 21/4
Therefore, the resulting smaller piece is 21/4 inches long, which is equal to 5 1/4 inches.