College

Which statement about determining the quotient [tex]\frac{1}{10} \div 5[/tex] is true?

A. Because [tex]\frac{2}{5} \times 5 = \frac{1}{10}[/tex], [tex]\frac{1}{10}[/tex] divided by 5 is [tex]\frac{2}{5}[/tex].

B. Because [tex]\frac{1}{2} \times 5 = \frac{1}{10}[/tex], [tex]\frac{1}{10}[/tex] divided by 5 is [tex]\frac{1}{2}[/tex].

C. Because [tex]\frac{1}{50} \times 5 = \frac{1}{10}[/tex], [tex]\frac{1}{10}[/tex] divided by 5 is [tex]\frac{1}{50}[/tex].

D. Because [tex]\frac{1}{5} \times 5 = \frac{1}{10}[/tex], [tex]\frac{1}{10}[/tex] divided by 5 is [tex]\frac{1}{5}[/tex].

Answer :

Letter C - Because 1/50×5= 1/10, 1/10 divided by 5 is 1/50 .

Explanation:

1/10 divided by 5/1
= 1/10 • 1/5
= 1/50
—————-
1/50 • 5/1
- 50 and 5 have a common factor, which is 5
- Five divided by 5 = 1
- fifty divided by 5 = 10

(Do note that any number alone, like 5, is the same as 5/1 because it’s one unity of 5)