Complete the following exercise:
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Complete the following exercise:
To solve this problem, we'll employ the division of fractions technique:
Now, let's work through these steps:
Step 1: The reciprocal of is .
Step 2: Multiply the fractions: .
Step 3: Simplify . The greatest common divisor (GCD) of 14 and 20 is 2, so divide both the numerator and the denominator by 2:
.
Therefore, the solution to the problem is .
Solve the following exercise:
\( \frac{1}{4}:\frac{1}{2}=\text{?} \)
When you divide by a fraction, you're asking 'how many groups' fit into the first fraction. Flipping and multiplying gives the same result as division but is much easier to calculate!
Your answer is still correct, but not in simplest form. Teachers usually want simplified answers, so always check if you can divide both numerator and denominator by their greatest common divisor (GCD).
List the factors of both numbers and find the largest one they share. For : factors of 14 are 1, 2, 7, 14 and factors of 20 are 1, 2, 4, 5, 10, 20. The GCD is 2!
No, cross-multiplication is for solving equations like . For fraction division, you must use the reciprocal method: flip the divisor and multiply.
They mean exactly the same thing! Both and represent division. The colon symbol is more common in some countries, but the method is identical.
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