We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve , we will simplify the fraction first and convert it to a decimal:
Step 1: Simplify the fraction .
The greatest common divisor (GCD) of 40 and 200 is 40.
Divide the numerator and the denominator by 40:
Step 2: Convert to a decimal.
To convert to a decimal, divide 1 by 5, which gives 0.2.
Step 3: Calculate .
.
Thus, the solution to the problem is .
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Simplifying makes the conversion much easier! Dividing 1 ÷ 5 is simpler than 40 ÷ 200, and you're less likely to make calculation errors with smaller numbers.
List factors or use division: 40 = 2³ × 5 and 200 = 2³ × 5². The GCD is 2³ × 5 = 40. You can also divide: 200 ÷ 40 = 5 exactly, so 40 is the GCD!
Yes, but understanding the simplification helps you recognize patterns! Plus, is easier to work with in future problems than the decimal 0.2.
Some fractions like give repeating decimals (0.333...). In those cases, you can leave the answer as a mixed number or use decimal approximation as needed.
Simply add them together: 5 + 0.2 = 5.2. Think of it as 5.0 + 0.2 = 5.2. The whole number becomes the digits before the decimal point.
Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime