Solve the following equation:
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Solve the following equation:
Let's try to identify the lowest common denominator between 10 and 5.
In order to identify the lowest common denominator, we need to find a number that is divisible by both 10 and 5.
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 1
We'll multiply the second fraction by 2
We'll multiply the third 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:
\( 5:6= \)
Fractions represent parts of a whole, so you need the same-sized parts (same denominator) to subtract them. It's like trying to subtract 8 slices of a pizza cut into 10 pieces from 1 slice of a pizza cut into 5 pieces - you need to make the pieces the same size first!
Look for the smallest number that both denominators divide into evenly. Since 10 ÷ 5 = 2 exactly, 10 is already a multiple of 5, making 10 our LCD (Least Common Denominator).
It's always good practice! can be simplified to by dividing both numerator and denominator by 2. Both forms are correct, but simplified fractions are preferred.
Find the LCD by listing multiples: 6: 6, 12, 18, 24... and 8: 8, 16, 24... The first number that appears in both lists is your LCD. In this case, 24 would be the LCD.
Yes, but be careful with repeating decimals! works nicely, but fractions like become 0.333... which can lead to rounding errors.
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