College

Write [tex]$6 \frac{3}{10}$[/tex] as an improper fraction.

A) [tex]$\frac{19}{10}$[/tex]
B) [tex]$\frac{28}{10}$[/tex]
C) [tex]$\frac{60}{3}$[/tex]
D) [tex]$\frac{63}{10}$[/tex]

Answer :

To convert the mixed number [tex]\(6 \frac{3}{10}\)[/tex] into an improper fraction, follow these steps:

1. Multiply the whole number by the denominator:
- Whole number: 6
- Denominator: 10
- [tex]\(6 \times 10 = 60\)[/tex]

2. Add the result to the numerator:
- Numerator: 3
- [tex]\(60 + 3 = 63\)[/tex]

3. Write the result as a fraction with the original denominator:
- So, the improper fraction is [tex]\(\frac{63}{10}\)[/tex].

Therefore, the answer is [tex]\( \boxed{\frac{63}{10}} \)[/tex], which corresponds to option D.