QuestionDebbie cuts a $4 \frac{7}{8}$ inch piece of wood into 2 equal parts. What is the length of each part?

Studdy Solution

STEP 1

Assumptions1. The original length of the wood is $4 \frac{7}{8}$ inches. The wood is cut into two equal pieces

STEP 2

First, we need to convert the mixed number to an improper fraction to make the calculation easier.A mixed number can be converted to an improper fraction using the following formula $\text{Improper Fraction} = \text{(whole number)} \times \text{(denominator)} + \text{(numerator)}$

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
$\text{Improper Fraction} = \times8 +7$

STEP 4

Calculate the improper fraction.
$\text{Improper Fraction} =4 \times8 +7 =39$ So, the original length of the wood in improper fraction is $\frac{39}{8}$ inches.

STEP 5

Now that we have the original length of the wood in improper fraction, we can divide this by the number of pieces (2) to find the length of each piece.
$\text{Length of each piece} = \frac{\text{Original length}}{\text{Number of pieces}}$

STEP 6

Plug in the values for the original length and the number of pieces to calculate the length of each piece.
$\text{Length of each piece} = \frac{39/8}{2}$

STEP 7

Calculate the length of each piece.
$\text{Length of each piece} = \frac{39/}{2} = \frac{39}{16}$

STEP 8

Finally, we convert the improper fraction back to a mixed number for the final answer.
A mixed number can be obtained from an improper fraction using the following formula $\text{Whole Number} = \text{Quotient of the numerator and denominator}$ $\text{umerator of the fraction part} = \text{Remainder of the numerator and denominator}$ $\text{Denominator of the fraction part} = \text{Denominator}$

STEP 9

Now, plug in the given values for the numerator and denominator to calculate the mixed number.
$\text{Whole Number} =39 \div16$ $\text{umerator of the fraction part} =39 \mod16$ $\text{Denominator of the fraction part} =16$

STEP 10

Calculate the mixed number.
$\text{Whole Number} =39 \div16 =2$ $\text{umerator of the fraction part} =39 \mod16 =7$ $\text{Denominator of the fraction part} =16$ So, the length of each piece is $2 \frac{7}{16}$ inches.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms