Solve the following equation:
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Solve the following equation:
We must first identify 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.
We will 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 we'll combine and obtain the following:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
Because fractions represent parts of different sized wholes! means 1 part of 5 equal pieces, while means 6 parts of 10 equal 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 and 10 ÷ 10 = 1, the LCD of 5 and 10 is 10. Sometimes you'll need to find multiples of both numbers.
Always check if you can simplify! In this case, can be reduced to by dividing both numerator and denominator by 2.
You can always multiply the denominators together as a last resort, but try to find the least common multiple first to keep numbers smaller and easier to work with.
You must multiply by (which equals 1) to keep the fraction's value unchanged. If you only change the denominator, you completely change what the fraction represents!
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