Question

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?

Answer 1

that's not right

Answer 2

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

Answer 3

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.

Answer 4

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.

Answer 5

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.