Please anyone to help the solution and the answer#

A piece of copper wire is 52 2/3 m long. If each piece has been cut of 3/4 m from it. What length will remain after cutting pieces?

52 2/3 m long. equals 158/3 meters

divide that by 3/4.
158/3)/(3/4)=4*158/9=70.2222
that means 70 lengths, with .2222*3/4 m left over, or .1666 m left over

To find the length that will remain after cutting pieces, we need to subtract the total length of the pieces that have been cut from the original length of the copper wire.

Given that the original length of the copper wire is 52 2/3 m and each piece has been cut off 3/4 m, we can calculate the total length of the pieces cut by dividing the original length by the length of each piece:

52 2/3 ÷ 3/4

To divide mixed numbers, we need to convert them into improper fractions. Let's convert 52 2/3 into an improper fraction:

52 2/3 = (3 * 52) + 2/3 = 156 + 2/3 = 158/3

Now we can perform the division:

(158/3) ÷ (3/4)

When dividing fractions, we multiply the first fraction by the reciprocal (or inverse) of the second fraction:

(158/3) × (4/3)

Multiplying fractions is done by multiplying the numerators and multiplying the denominators:

(158 × 4)/(3 × 3) = 632/9

So, the total length of the cut pieces is 632/9 meters.

To find the length that remains after cutting the pieces, subtract the total length of the cut pieces from the original length of the copper wire:

Original length - Total length of cut pieces

52 2/3 m - 632/9 m

To subtract fractions, we need a common denominator:

(52 2/3) - (632/9)

Converting 52 2/3 into an improper fraction:

52 2/3 = (3 * 52) + 2/3 = 156 + 2/3 = 158/3

Now we can subtract the fractions:

(158/3) - (632/9)

To subtract fractions, the denominators must be the same. Since 3 and 9 have a common multiple of 9, we need to multiply the numerator and denominator of the first fraction by 3, and the numerator and denominator of the second fraction by 1:

(158/3) - (632/9) = (158/3) × (3/3) - (632/9) × (1/1)

Simplifying the fractions:

(474/9) - (632/9)

Now we can subtract the numerators:

474 - 632 = -158

So, the length that will remain after cutting pieces is -158/9 meters. However, a negative length does not make sense in this context. Therefore, there is an error in the calculations.

Please double-check the given values and recalculate.

To find the length that will remain after cutting pieces, we need to subtract the total length of the cut pieces from the original length of the copper wire.

To calculate the length of the cut pieces, we need to multiply the number of pieces cut by the length of each piece.

Given that each piece has been cut by 3/4 m, we can calculate the length of a single piece by multiplying the number of pieces by the length per piece:

Length of a single piece = (3/4) m

Now, let's calculate the number of pieces cut from the wire. To do this, we divide the original length of the wire by the length of a single piece:

Number of pieces = (52 2/3) m / (3/4) m

To divide fractions, we take the reciprocal of the denominator and multiply it by the numerator:

Number of pieces = (52 2/3) m * (4/3) m

To multiply mixed numbers, we convert them to improper fractions:

Number of pieces = (158/3) m * (4/3) m

Now, multiply the numerators and the denominators:

Number of pieces = (158*4) / (3*3) m

Simplify the multiplication:

Number of pieces = 632 / 9 m

Now, we can find the total length of the cut pieces by multiplying the number of pieces by the length of a single piece:

Total length of cut pieces = (632/9) m * (3/4) m

Again, multiply the numerators and the denominators:

Total length of cut pieces = (632*3) / (9*4) m

Simplify the multiplication:

Total length of cut pieces = 1896 / 36 m

Now, subtract the total length of the cut pieces from the original length of the wire to find the remaining length:

Remaining length = (52 2/3) m - (1896/36) m

To subtract mixed numbers, we need to convert them to improper fractions:

Remaining length = (158/3) m - (1896/36) m

To subtract fractions, we need a common denominator. In this case, the least common multiple of 3 and 36 is 36:

Remaining length = (158/3) m - (1896/36) m * (1/1)

Now, multiply the numerators and the denominators:

Remaining length = (158/3) m - (1896/36) m * (1/1)

Simplify the multiplication:

Remaining length = (158/3) m - (1896/36) m

To subtract fractions, they need to have the same denominator:

Remaining length = (158/3) m - (1896/36) m

Now, subtract the numerators and keep the denominator the same:

Remaining length = ((158 - 1896)/36) m

Simplify the numerator:

Remaining length = (-1738/36) m

To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor, which is 2:

Remaining length = (-869/18) m

The remaining length after cutting pieces is -869/18 meters.