Solve the following equation:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Solve the following equation:
Let's begin by determining the lowest common denominator between 5 and 10.
In order to identify the lowest common denominator, we must find a number that is divisible by both 5 and 10.
In this case, the common denominator is 10
Let's proceed to multiply each fraction by the appropriate number in order to reach the denominator 10.
We'll multiply the first fraction by 2
We'll multiply the second fraction by 1
Finally let's subtract as follows:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
Because fractions represent parts of wholes, not separate numbers! You can only subtract fractions when they have the same denominator - like subtracting 3 apples from 8 apples, not 3 apples from 5 oranges.
Look for the smallest number that both denominators divide into evenly. Since 10 ÷ 5 = 2 and 10 ÷ 10 = 1, the LCD is 10!
Not always! Only multiply fractions that don't already have the LCD. In this problem, already has denominator 10, so we leave it alone.
Any common multiple of 5 and 10 works (like 20, 30, 40...), but using the lowest one keeps numbers small and makes calculations easier!
is already in simplest form because 3 and 10 share no common factors other than 1. Always check if your final answer can be reduced!
Get unlimited access to all 18 Operations with Fractions 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