Dear friends, Please read our latest blog post for an important announcement about the website. ❤, The Socratic Team

# How do you write 9/20 as a decimal?

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

72
Apr 2, 2018

$\frac{9}{20} = 9 \div 20 = 0.45$

#### Explanation:

Another way to look at this is:

$\frac{9}{20} = \frac{9}{20} \times \frac{5}{5} = \frac{9 \times 5}{20 \times 5} = \frac{45}{100} = 0.45$

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

3
Ujjwal Share
Apr 2, 2018

0.45

#### Explanation:

$9 \div 20$

$\implies \frac{9}{20}$

Convert the denominator into powers of 2 and 5.

=> 9/(2xx2xx5

=> 9/(2^2xx5^1

Now multiply both numerator and denominator with 5 to make the powers of 2 and 5 equal.

=> (9xx5)/(2^2xx5xx5

=> 45/(2^2xx5^2

You can combine the bases with same powers

$\implies \frac{45}{10} ^ 2$

$\implies \frac{45}{100}$

$\implies 0.45$

Hope it helps

• An hour ago
• An hour ago
• An hour ago
• An hour ago
• 6 minutes ago
• 14 minutes ago
• An hour ago
• An hour ago
• An hour ago
• An hour ago
• An hour ago
• An hour ago
• An hour ago
• An hour ago
• Pre
• Cal
• Sta
• Soc
• Tri
• Ear
• Org
• Env
• Ana
• Eng
• Psy
• Ast
• Bio
• Ast
• U.S
• Alg
• Wor
• Che
• Geo
• Pre
• Phy