use long division to convert 2 3/8

Answer 1

To convert the mixed number $2\frac{3}{8}$ into a decimal using long division, follow these steps:

1. Convert the mixed number to an improper fraction: $$2\frac{3}{8}=\frac{(2\times 8)+3}{8}=\frac{16+3}{8}=\frac{19}{8}$$

2. Divide 19 by 8 using long division:

   • 8 goes into 19 twice (since $8\times 2=16$).
   • Subtract 16 from 19, which gives us 3.
   • Bring down a 0 (making it 30) since we want to continue dividing.
   • 8 goes into 30 three times (since $8\times 3=24$).
   • Subtract 24 from 30, which gives us 6.
   • Bring down another 0 (making it 60).
   • 8 goes into 60 seven times (since $8\times 7=56$).
   • Subtract 56 from 60, which gives us 4.
   • Bring down another 0 (making it 40).
   • 8 goes into 40 five times (since $8\times 5=40$).
   • Subtract 40 from 40, which gives us 0.

Putting it all together, we have:

• The quotient is 2 (from $19÷8$), then we have a decimal part $0.375$.

Thus, $2\frac{3}{8}$ converts to $2.375$.