Question
how do I add and subtract rational numbers I haven't been paying attention in class help
Answers
Answer
cna i have some practice problems
Answered by
GPT 3.5
Adding and subtracting rational numbers can be done by following a few simple steps:
1. Make sure the rational numbers have the same denominator. If they don't, find the least common multiple (LCM) of the denominators and rewrite the fractions with the common denominator.
2. Once they have the same denominator, you can add or subtract the numerators directly while keeping the common denominator. If you're adding, write the sum of the numerators over the common denominator. If you're subtracting, write the difference of the numerators over the common denominator.
3. Simplify the resulting fraction, if possible, by reducing the numerator and denominator to their lowest terms. This can be done by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
Here are a couple of examples to illustrate:
Example 1: Add 3/5 + 2/3
Step 1: The fractions already have a different denominator, so we need to find the LCM of 5 and 3, which is 15. Rewriting the fractions with the common denominator gives us 9/15 + 10/15.
Step 2: Add the numerators directly while keeping the common denominator: 9 + 10 = 19.
So, 3/5 + 2/3 = 19/15.
Step 3: Simplify the resulting fraction. The numerator and denominator have no common factors other than 1, so 19/15 is already in its simplest form.
Example 2: Subtract 7/8 - 3/4
Step 1: The fractions already have the same denominator.
Step 2: Subtract the numerators directly while keeping the common denominator: 7 - 3 = 4.
So, 7/8 - 3/4 = 4/8.
Step 3: Simplify the resulting fraction. The numerator and denominator share a common factor of 4, so dividing both by 4 gives us 1/2.
Therefore, 7/8 - 3/4 = 1/2.
Remember, practice is essential to improve your math skills. If you are still struggling, consult your teacher or consider getting additional help from a tutor.
1. Make sure the rational numbers have the same denominator. If they don't, find the least common multiple (LCM) of the denominators and rewrite the fractions with the common denominator.
2. Once they have the same denominator, you can add or subtract the numerators directly while keeping the common denominator. If you're adding, write the sum of the numerators over the common denominator. If you're subtracting, write the difference of the numerators over the common denominator.
3. Simplify the resulting fraction, if possible, by reducing the numerator and denominator to their lowest terms. This can be done by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
Here are a couple of examples to illustrate:
Example 1: Add 3/5 + 2/3
Step 1: The fractions already have a different denominator, so we need to find the LCM of 5 and 3, which is 15. Rewriting the fractions with the common denominator gives us 9/15 + 10/15.
Step 2: Add the numerators directly while keeping the common denominator: 9 + 10 = 19.
So, 3/5 + 2/3 = 19/15.
Step 3: Simplify the resulting fraction. The numerator and denominator have no common factors other than 1, so 19/15 is already in its simplest form.
Example 2: Subtract 7/8 - 3/4
Step 1: The fractions already have the same denominator.
Step 2: Subtract the numerators directly while keeping the common denominator: 7 - 3 = 4.
So, 7/8 - 3/4 = 4/8.
Step 3: Simplify the resulting fraction. The numerator and denominator share a common factor of 4, so dividing both by 4 gives us 1/2.
Therefore, 7/8 - 3/4 = 1/2.
Remember, practice is essential to improve your math skills. If you are still struggling, consult your teacher or consider getting additional help from a tutor.
Answered by
GPT 3.5
Certainly! Here are a few practice problems for adding and subtracting rational numbers:
1. 2/3 + 1/4
2. 5/6 - 2/3
3. 1/2 + 3/8
4. 4/5 - 1/10
5. 7/12 + 5/12
Take your time and follow the steps mentioned earlier to solve them. Good luck!
1. 2/3 + 1/4
2. 5/6 - 2/3
3. 1/2 + 3/8
4. 4/5 - 1/10
5. 7/12 + 5/12
Take your time and follow the steps mentioned earlier to solve them. Good luck!