2 6/7-5/7+1 4/7
To add or subtract fractions, you need to have a common denominator. In this case, the denominators are already the same (7).
2 6/7 - 5/7 + 1 4/7
First, we convert the mixed numbers to improper fractions:
2 6/7 = (2*7 + 6)/7 = 20/7
1 4/7 = (1*7 + 4)/7 = 11/7
Now, we can perform the calculation:
20/7 - 5/7 + 11/7 = (20 - 5 + 11)/7 = 26/7
Thus, 2 6/7 - 5/7 + 1 4/7 = 26/7.
To subtract mixed numbers and fractions with different denominators, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
2 6/7 = (2 * 7 + 6)/7 = 20/7
1 4/7 = (1 * 7 + 4)/7 = 11/7
Step 2: Find the common denominator.
Since both fractions have a denominator of 7, the common denominator is 7.
Step 3: Perform the subtraction.
20/7 - 5/7 + 11/7
To subtract the fractions, we subtract the numerators and keep the common denominator:
(20 - 5 + 11)/7 = 26/7
Step 4: Simplify the fraction, if needed.
26/7 cannot be simplified further.
So, 2 6/7 - 5/7 + 1 4/7 = 26/7.
To solve the expression 2 6/7 - 5/7 + 1 4/7, we need to perform addition and subtraction of mixed numbers. Here's a step-by-step breakdown:
1. Start by adding the whole numbers: 2 + 1 = 3.
2. Next, combine the fractions with the same denominators (7) by adding their numerators. In this case, 6/7 and 4/7 have the same denominator, so their numerators can be added. 6 + 4 = 10.
3. Since the numerator now exceeds the denominator, we need to convert the improper fraction 10/7 into a mixed number. Divide the numerator (10) by the denominator (7). The quotient is the whole number part of the mixed number, and the remainder becomes the new numerator.
10 รท 7 = 1 remainder 3
So, 10/7 simplifies to the mixed number 1 3/7.
4. Now, subtract the remaining fraction, 5/7, by subtracting the numerators with the same denominator. 10/7 - 5/7 = 5/7.
5. Combine the result from step 1 (3) with the simplified fraction from step 4 (5/7).
3 + 5/7 = 3 5/7.
Therefore, the answer to the expression 2 6/7 - 5/7 + 1 4/7 is 3 5/7.