Solve the following equation:
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Solve the following equation:
We must first identify the lowest common denominator between 3 and 9.
In order to determine the lowest common denominator, we need to find a number that is divisible by both 3 and 9.
In this case, the common denominator is 9.
We will then proceed to multiply each fraction by the appropriate number to reach the denominator 9.
We'll multiply the first fraction by 3
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:
\( 5:6= \)
You can only add fractions when they have the same denominator. Think of it like adding different sized pieces - you need equal-sized pieces first! Convert to common denominators, then add.
Since 9 is a multiple of 3 (3 × 3 = 9), the LCD is simply 9. List multiples: 3 has multiples 3, 6, 9... and 9 has multiples 9, 18, 27... The smallest common one is 9.
Equivalent fractions represent the same value but look different. equals because we multiply both top and bottom by 3. They're the same size piece!
Yes, always simplify! Check if the numerator and denominator share common factors. In this case, is already in lowest terms since 5 and 9 share no common factors.
For 3 and 9, the LCD is definitely 9. But you could use 18 or 27 - you'd just have extra work simplifying! Always use the smallest common denominator to make calculations easier.
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