Add Fractions & Decimals Quick Check
To add fractions:
1. Make sure the denominators (the bottom numbers) are the same. If they are not, find the least common multiple (LCM) of the denominators and convert the fractions to have the same denominator.
2. Add the numerators (the top numbers) of the fractions together and keep the denominator the same.
3. Simplify the fraction if possible by dividing the numerator and denominator by their greatest common factor (GCF).
Example:
Add 2/3 + 5/6
Since the denominators are not the same, find the LCM of 3 and 6, which is 6.
Convert 2/3 to have a denominator of 6 by multiplying the numerator and denominator by 2.
Convert 5/6 to have a denominator of 6 by multiplying the numerator and denominator by 1.
Now the problem is 4/6 + 5/6.
Add the numerators together: 4 + 5 = 9.
The result is 9/6.
Simplify the fraction by dividing the numerator and denominator by their GCF, which is 3.
9/3 = 3/2.
To add decimals:
1. Align the decimal points of the numbers being added.
2. Add the numbers together like you would with whole numbers.
3. Place the decimal point in the result by lining it up with the decimal points in the numbers being added.
Example:
Add 2.5 + 3.75
Align the decimal points: 2.5 + 3.75
Add the numbers: 2.5 + 3.75 = 6.25
The result is 6.25.
Sure, I can help you with that. To add fractions and decimals, follow these steps:
For adding fractions:
1. Make sure the denominators of the fractions are the same. If they are different, find a common denominator by multiplying the denominators together.
2. Add the numerators of the fractions together.
3. Keep the common denominator and simplify the fraction if needed.
For example, let's add 1/4 and 3/8:
1. Since the denominators are different, find a common denominator. In this case, 4 and 8 have 8 as a common multiple.
2. Rewrite the fractions with the common denominator: 1/4 = 2/8 and 3/8 remains the same.
3. Add the numerators together: 2/8 + 3/8 = 5/8.
So, 1/4 + 3/8 equals 5/8.
For adding decimals:
1. Align the decimals vertically.
2. Add the digits in the same place value column together, starting from the rightmost column.
3. Carry over any extra digit if the sum in a column is greater than 9.
4. Write the sum of the digits, including the decimal point, in the same place value column.
For example, let's add 2.3 and 1.75:
2.30
+ 1.75
_______
First, align the decimals:
2.30
+ 1.75
_______
Next, add the digits in each column:
2.30
+ 1.75
_______
3.05
So, 2.30 + 1.75 equals 3.05.
I hope this helps! Let me know if you have any more questions.