Answer
The Answer is: 29/300
SOLUTION
Problem Statement
We are asked to express 48 1/3 cm as a fraction of 5m.
Method
To solve this question, we should follow these steps:
1. Convert 48 1/3 cm to an improper fraction.
2. Convert 5m to centimeters
3. Divide the result from step 1 by the result from step 2.
Implementation
1. Convert 48 1/3 cm to an improper fraction:
To convert a mixed fraction to an improper fraction, we need to:
i. Multiply the denominator of the fraction and whole number
ii. Add the result from step i to the numerator of the fraction.
iii. The Improper fraction is the result from step (ii) divided by the original denominator
Let us apply these steps to convert 48 1/3 cm to an improper fraction:
2. Convert 5m to centimeters
![\begin{gathered} 100\text{ centimeters}\to1\text{meter} \\ \therefore5\text{meters}\to5*100\text{centimeters}=500\operatorname{cm} \end{gathered}]()
3. Divide the result from step 1 by the result from step 2:
![\begin{gathered} (145)/(3)cm/500\operatorname{cm} \\ \text{This can be re-written as:} \\ \frac{145\operatorname{cm}}{3}*\frac{1}{500\operatorname{cm}} \\ \\ =(29*5)/(3)*(1)/(5*100) \\ \\ 5\text{ crosses out} \\ \\ \therefore(29)/(3)*(1)/(100)=(29)/(300) \end{gathered}]()
Final Answer
The Answer is: 29/300