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.
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?
5 answers
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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.
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.
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
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.
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.
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.
1 answer