To convert [tex]\( 4 \frac{3}{5} \)[/tex] tons (T) to pounds (lb), follow these steps:
1. Convert the mixed number to an improper fraction:
[tex]\[
4 \frac{3}{5} = 4 + \frac{3}{5}
\][/tex]
First, convert the whole number 4 to a fraction:
[tex]\[
4 = \frac{20}{5}
\][/tex]
Now, add the fractions:
[tex]\[
4 \frac{3}{5} = \frac{20}{5} + \frac{3}{5} = \frac{20 + 3}{5} = \frac{23}{5}
\][/tex]
2. Convert the improper fraction to a decimal:
[tex]\[
\frac{23}{5} = 4.6
\][/tex]
Therefore, [tex]\( 4 \frac{3}{5} \text{ tons} = 4.6 \text{ tons} \)[/tex].
3. Understand the conversion factor:
1 ton is equal to 2000 pounds.
4. Calculate the number of pounds:
[tex]\[
4.6 \text{ tons} \times 2000 \text{ pounds/ton} = 9200 \text{ pounds}
\][/tex]
Therefore, [tex]\( 4 \frac{3}{5} \)[/tex] tons is equal to 9200 pounds.
