Complete the following exercise:
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Complete the following exercise:
To solve the division of fractions by , we follow these steps:
Step 1: Identify the reciprocal of the second fraction . The reciprocal is .
Step 2: Multiply the first fraction by the reciprocal :
Step 3: Multiply the numerators together and the denominators together:
Step 4: Simplify the resulting fraction, if possible. In this case, is already in its simplest form.
Step 5: Convert the improper fraction to a mixed number:
remainder , so the mixed number is .
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 as: "How many 's fit into ?" Flipping makes this calculation possible!
A reciprocal is when you flip the numerator and denominator. For , the reciprocal is . When you multiply a fraction by its reciprocal, you always get 1!
Not always! If your improper fraction's numerator is smaller than the denominator, it's already a proper fraction. Only convert to mixed numbers when the numerator is larger than the denominator.
Divide the numerator by the denominator: 16 ÷ 9 = 1 remainder 7. The quotient (1) becomes the whole number, the remainder (7) stays as the numerator, and 9 stays as the denominator: .
Absolutely! Look for common factors you can cancel. In this problem, you could cancel the 3's: , but since there are no matching factors between numerator and denominator, we multiply straight across.
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