What is the rule for multiplying or dividing fractions?
Check this site.
http://www.intmath.com/Factoring-fractions/6_Multiplication-division-fractions.php
The rule for multiplying fractions is as follows:
1. Multiply the numerators (the top numbers) together to get the new numerator.
2. Multiply the denominators (the bottom numbers) together to get the new denominator.
3. Simplify the fraction, if possible, by dividing the numerator and denominator by their greatest common factor.
For example, to multiply 2/3 and 4/5:
1. 2 x 4 = 8
2. 3 x 5 = 15
3. The fraction simplifies to 8/15.
The rule for dividing fractions is similar, but with an additional step of flipping the second fraction (the divisor) and then following the multiplication rule.
For example, to divide 2/3 by 4/5:
1. Flip the second fraction to get 5/4.
2. Multiply the first fraction (2/3) by the flipped fraction (5/4) using the multiplication rule.
3. 2 x 5 = 10 (numerator)
3 x 4 = 12 (denominator)
4. The fraction simplifies to 10/12, which can be further simplified to 5/6 by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case.
To multiply two fractions, you need to multiply the numerators (top numbers) together to get the new numerator, and multiply the denominators (bottom numbers) together to get the new denominator.
Here is the step-by-step process:
1. Write down the two fractions you want to multiply.
2. Multiply the numerators of the fractions together to get the new numerator.
3. Multiply the denominators of the fractions together to get the new denominator.
4. Simplify the new fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
For example, let's multiply 2/3 and 3/4:
Step 1: Write down the fractions: 2/3 * 3/4
Step 2: Multiply the numerators: 2 * 3 = 6
Step 3: Multiply the denominators: 3 * 4 = 12
Step 4: Simplify the fraction: The simplified form of 6/12 is 1/2 since the GCD of 6 and 12 is 6, and dividing both numerator and denominator by 6 gives 1/2.
To divide fractions, you can use the same process as multiplication, but you also need to remember to multiply by the reciprocal (flipped version) of the second fraction. This means swapping the numerator and denominator.
Here is the step-by-step process for dividing fractions:
1. Write down the two fractions you want to divide.
2. Multiply the first fraction by the reciprocal (flipped version) of the second fraction.
3. Multiply the numerators of the fractions together to get the new numerator.
4. Multiply the denominators of the fractions together to get the new denominator.
5. Simplify the new fraction, if possible, by finding the GCD of the numerator and denominator and dividing both by it.
For example, let's divide 2/3 by 3/4:
Step 1: Write down the fractions: 2/3 ÷ 3/4
Step 2: Multiply the first fraction by the reciprocal of the second fraction: 2/3 * 4/3
Step 3: Multiply the numerators: 2 * 4 = 8
Step 4: Multiply the denominators: 3 * 3 = 9
Step 5: Simplify the fraction: The simplified form of 8/9 is fully simplified since the numerator and denominator have no common factors other than 1.