We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve this problem, follow these steps:
Now, let's work through each step in detail:
Step 1: Simplify the fraction .
To simplify the fraction, divide both the numerator () and the denominator () by their greatest common divisor, which is . Thus, we have:
Step 2: Convert the simplified fraction to a decimal.
The fraction is directly equivalent to the decimal .
Step 3: Combine this decimal with the whole number .
Add the decimal to the whole number :
Therefore, the solution to the problem is .
Write the following fraction as a decimal:
\( \frac{1}{100}= \)
Look for the largest number that divides evenly into both the numerator and denominator. For 15 and 150, try: Does 15 go into both? Yes! and .
Think of it as 1 out of 10 equal parts. In decimal form, 10 parts means each part is 0.1, so . It's like having 1 dime out of 10 dimes (1 dollar)!
You could, but simplifying first helps you understand the math better! Plus, is much easier to work with than in future problems.
That's okay! Some fractions like become repeating decimals (0.333...). Just simplify the fraction first, then convert - even if it's not a "clean" decimal.
Simply add them together! The whole number plus the decimal gives . Think: 2 whole things + 1 tenth = 2 and 1 tenth.
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