Subtract fractions and decimals QuickChek how should you group the following expression to make it easiest to add 18 -9 4/9+7/9-8
To make it easiest to subtract the given fractions and decimals, you should group the expression as follows:
(18 - 9) + (4/9 + 7/9) - 8
Start by subtracting 9 from 18, which gives you 9.
Next, add the fractions 4/9 and 7/9. The numerators can be added because the denominators are the same. The sum is 11/9.
Finally, subtract 8 from the previous result. This can be done by converting 8 to a fraction with a denominator of 9. 8 can be written as 8/1, so to have a common denominator of 9, it becomes 8/1 * 9/9 = 72/9.
Now, subtract 72/9 from 11/9. The denominators are the same, so you subtract the numerators: 11 - 72 = -61.
Therefore, the final result is 9 + (-61) = -52.
To simplify the expression 18 - 9 + 4/9 + 7/9 - 8, it is best to group the fractions separately from the whole numbers.
Step 1: Combine the whole numbers (18 - 9 - 8) to get:
18 - 9 - 8 = 9 - 8 = 1
Step 2: Combine the fractions separately:
4/9 + 7/9
Since the denominators of both fractions are the same (9), you can add the numerators directly and keep the denominator the same:
4/9 + 7/9 = (4 + 7)/9 = 11/9
Therefore, the expression becomes:
1 + 11/9 - 8
Step 3: Convert the whole number 1 to a fraction with a denominator of 9:
1 = 9/9
Now, the expression becomes:
9/9 + 11/9 - 8
Step 4: Combine the fractions with the same denominators:
9/9 + 11/9 = (9 + 11)/9 = 20/9
Finally, the expression simplifies to:
20/9 - 8