Solve the following equation:
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Solve the following equation:
Let's begin by identifying the lowest common denominator between 5 and 10.
In order to determine the lowest common denominator, we need to 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 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 and represent different sized pieces! Think of it like 3 slices from a 5-piece pizza versus 3 slices from a 10-piece pizza - they're not the same amount.
Look for the smallest number that both denominators divide into evenly. Since 10 ÷ 5 = 2 and 10 ÷ 10 = 1, the LCD is 10. You can also list multiples: 5, 10, 15... and 10, 20, 30... - the first match is 10!
Not always! You only multiply fractions that don't already have the common denominator. In this problem, already has denominator 10, so we leave it alone and only convert .
No, is already in simplest form because 3 and 10 share no common factors except 1. To check: the factors of 3 are {1, 3} and factors of 10 are {1, 2, 5, 10}.
Remember: change the fractions that don't have the LCD as their denominator. Write down your LCD first, then look at each fraction - if its denominator isn't the LCD, that's the one you need to convert!
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