Multiply and divide rational numbers
When multiplying rational numbers, you simply multiply the numerators together and multiply the denominators together. For example, if you want to multiply 2/3 and 4/5, you would multiply 2 by 4 to get 8 and multiply 3 by 5 to get 15. Therefore, 2/3 multiplied by 4/5 is equal to 8/15.
When dividing rational numbers, you multiply the first rational number by the reciprocal of the second rational number. In other words, you multiply the first rational number by the second rational number flipped upside down. For example, if you want to divide 2/3 by 4/5, you would multiply 2/3 by 5/4. Multiply the numerators 2 by 5 to get 10, and multiply the denominators 3 by 4 to get 12. Therefore, 2/3 divided by 4/5 is equal to 10/12, which can be simplified to 5/6.
Remember to always simplify your answer when possible by finding the greatest common factor and dividing both the numerator and denominator by it.
To multiply rational numbers, follow these steps:
Step 1: Write down the two given rational numbers.
Step 2: Multiply the numerators of the two rational numbers to find the product of the numerators.
Step 3: Multiply the denominators of the two rational numbers to find the product of the denominators.
Step 4: Simplify the resulting fraction by canceling out any common factors between the numerator and the denominator if possible.
Example: Multiply 2/3 and 4/5.
Step 1: Given rational numbers are 2/3 and 4/5.
Step 2: Multiply the numerators: 2 * 4 = 8.
Step 3: Multiply the denominators: 3 * 5 = 15.
Step 4: Simplify the resulting fraction, if possible. In this case, the numerator and denominator do not have any common factors to simplify, so the answer is 8/15.
To divide rational numbers, follow these steps:
Step 1: Write down the two given rational numbers.
Step 2: Keep the first rational number as it is.
Step 3: Flip the second rational number by interchanging the numerator and the denominator.
Step 4: Multiply the first rational number by the flipped version of the second rational number.
Step 5: Simplify the resulting fraction by canceling out any common factors between the numerator and the denominator if possible.
Example: Divide 2/3 by 4/5.
Step 1: Given rational numbers are 2/3 and 4/5.
Step 2: Keep the first rational number as it is: 2/3.
Step 3: Flip the second rational number: 5/4.
Step 4: Multiply the first rational number by the flipped version of the second rational number: (2/3) * (5/4) = (2*5) / (3*4) = 10/12.
Step 5: Simplify the resulting fraction, if possible. In this case, both the numerator and the denominator have a common factor of 2, so we can simplify: 10/12 = (10/2) / (12/2) = 5/6.
To multiply rational numbers, follow these steps:
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 resulting fraction if possible by dividing both the numerator and denominator by their greatest common factor.
For example, let's say we want to multiply 2/3 and 1/4:
Step 1: Multiply the numerators: 2 * 1 = 2
Step 2: Multiply the denominators: 3 * 4 = 12
Step 3: The resulting fraction is 2/12, which can be simplified to 1/6 by dividing both the numerator and denominator by their greatest common factor (in this case, 2).
To divide rational numbers, follow these steps:
1. Keep the first fraction as is.
2. Flip the second fraction by switching the numerator and denominator.
3. Multiply the first fraction by the flipped second fraction.
4. Simplify the resulting fraction if possible by dividing both the numerator and denominator by their greatest common factor.
For example, let's say we want to divide 2/3 by 1/4:
Step 1: Keep the first fraction: 2/3
Step 2: Flip the second fraction: 1/4 becomes 4/1
Step 3: Multiply the fractions: 2/3 * 4/1 = 8/3
Step 4: The resulting fraction is 8/3, which cannot be simplified further.
Remember to always simplify the resulting fraction if possible to get the simplest form of the rational number.