Complete the following exercise:
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Complete the following exercise:
To solve the problem of dividing two fractions, we apply the method of multiplication by the reciprocal:
Therefore, the correct result of the division is .
Solve the following exercise:
\( \frac{1}{4}:\frac{1}{2}=\text{?} \)
You flip the divisor (the fraction after the division sign). In , flip to get . The first fraction stays the same!
Your answer is still correct, but not in simplest form. Always check if the numerator and denominator share common factors. and are equal, but is preferred.
Think: "Division becomes multiplication by the reciprocal." The ÷ symbol changes to ×, and you flip the fraction after the division sign. Practice with simple examples first!
That's totally normal! When you divide by a fraction less than 1 (like ), your answer can be larger than the original number. Check your work by substitution.
Cross-multiplication works for equations like , but for division problems, you must use the reciprocal method. They're different types of problems!
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