Complete the following exercise:
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Complete the following exercise:
To solve this problem, we'll use the reciprocal method for dividing fractions.
Step 1: Identify the reciprocal of the divisor.
The reciprocal of is .
Step 2: Multiply the dividend by the reciprocal of the divisor.
Multiply by :
There is no common factor between 10 and 21 other than 1, meaning is already in its simplest form.
Therefore, the solution to the problem is .
\( \frac{1}{3}+\frac{1}{4}= \)
Dividing by a fraction is the same as multiplying by its reciprocal. Think of it this way: dividing by means 'how many pieces fit into ?' This is equivalent to .
The reciprocal is when you flip the numerator and denominator. For example, the reciprocal of is . For whole numbers like 3, write it as first, then flip to get .
Check if the numerator and denominator share any common factors. Since 10 and 21 don't share any factors except 1, is already simplified!
You could, but it's usually better to keep fractions as fractions for exact answers. Converting to decimals would give you approximations, not the precise answer.
Remember: always flip the second fraction (the divisor). In , you flip to get , then multiply: .
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