-1/2+1/3
-3 1/5+-6 1/2
5/8-(-2/8)
-9/10-2/5
6 3/5-(-2 1/5)
What is your question about these problems?
I have the same problems the question is find the sum or difference
To solve these arithmetic calculations involving fractions and mixed numbers, follow these steps:
1. Addition and Subtraction of Fractions:
- To add or subtract fractions with different denominators, find a common denominator.
- Multiply the numerator and the denominator of each fraction by the same number to obtain the common denominator.
- Once the fractions have the same denominator, add or subtract the numerators and write the result over the common denominator.
2. Addition and Subtraction of Mixed Numbers:
- To add or subtract mixed numbers, start by adding or subtracting the whole numbers separately.
- Then, add or subtract the fraction parts using the same steps as for fractions.
Let's solve the given calculations step by step:
1. -1/2 + 1/3:
- Find the common denominator, which is 6 since both 2 and 3 divide evenly into 6.
- Multiply -1/2 by 3/3, which gives -3/6.
- Multiply 1/3 by 2/2, which gives 2/6.
- Now, add the numerators: -3/6 + 2/6 = -1/6.
- The result is -1/6.
2. -3 1/5 + -6 1/2:
- Start by adding the whole numbers: -3 + -6 = -9.
- Next, add the fractions:
- Find the common denominator, which is 10 since both 5 and 2 divide evenly into 10.
- Multiply 1/5 by 2/2, which gives 2/10.
- Multiply 1/2 by 5/5, which gives 5/10.
- Now, add the numerators: 2/10 + 5/10 = 7/10.
- Combine the whole number and the fraction: -9 + 7/10.
- The result is -9 7/10.
3. 5/8 - (-2/8):
- Subtracting a negative fraction is the same as adding the positive fraction.
- Rewrite the equation as 5/8 + 2/8.
- Add the numerators: 5/8 + 2/8 = 7/8.
- The result is 7/8.
4. -9/10 - 2/5:
- Find the common denominator, which is 10 since both 10 divides evenly into 10.
- Multiply -9/10 by 1/1, which gives -9/10.
- Multiply 2/5 by 2/2, which gives 4/10.
- Now, subtract the numerators: -9/10 - 4/10 = -13/10.
- Rewrite the fraction as a mixed number: -13/10 = -1 3/10.
- The result is -1 3/10.
5. 6 3/5 - (-2 1/5):
- Subtracting a negative fraction is the same as adding the positive fraction.
- Rewrite the equation as 6 3/5 + 2 1/5.
- Start by adding the whole numbers: 6 + 2 = 8.
- Next, add the fractions:
- Find the common denominator, which is 5 since both 5 divides evenly into 5.
- Multiply 3/5 by 1/1, which gives 3/5.
- Multiply 1/5 by 1/1, which gives 1/5.
- Now, add the numerators: 3/5 + 1/5 = 4/5.
- Combine the whole number and the fraction: 8 4/5.
- The result is 8 4/5.
Remember to double-check your calculations and simplify fractions if needed.