Sure! Here's a step-by-step guide to practice adding fractions and decimals:
1. Adding fractions:
- Step 1: Make sure the denominators are the same. If they are different, find the least common multiple (LCM) of the denominators and adjust the fractions accordingly.
- Step 2: Add the numerators of the fractions together.
- Step 3: Keep the denominator the same, and simplify the fraction if necessary.
2. Adding decimals:
- Step 1: Align the decimal points of the numbers.
- Step 2: Add the numbers together, starting from the rightmost column.
- Step 3: Carry over any values greater than or equal to 10 to the next column.
- Step 4: If necessary, add zeros to the left of the decimal point to maintain alignment.
- Step 5: Simplify the decimal if necessary.
Now, let's practice with some examples!
Example 1: Adding Fractions:
2/5 + 3/5
- Step 1: The denominators are already the same.
- Step 2: Add the numerators: 2 + 3 = 5
- Step 3: The denominator remains the same: 5/5
- Answer: 5/5, which simplifies to 1.
Example 2: Adding Fractions with Different Denominators:
1/4 + 3/8
- Step 1: Find the LCM of 4 and 8, which is 8. Adjust the fractions:
1/4 becomes 2/8 (multiplied numerator and denominator by 2)
3/8 remains the same.
- Step 2: Add the numerators: 2 + 3 = 5
- Step 3: The denominator remains the same: 5/8
- Answer: 5/8.
Example 3: Adding Decimals:
2.35 + 1.7
- Step 1: Align the decimals: 2.35 + 1.70
- Step 2: Add the numbers: 5 + 3 = 8, carry over 1 to the leftmost column.
3 + 7 + 1 (carried over) = 11
2 + 1 = 3
- Step 3: Simplify the decimal: 3.05
- Answer: 3.05.
I hope this helps! Let me know if you have any further questions.