Question

Subtract 9 2/3 - 6 3/4. Simplify the answer and write as a mixed number.

Answer 1

To subtract mixed numbers, convert them into improper fractions, find a common denominator, subtract the numerators, and simplify the resulting fraction.

Step-by-step explanation:

To subtract mixed numbers, we need to convert them into improper fractions. First, let's convert 9 2/3 into an improper fraction:

1. Multiply the whole number (9) by the denominator (3), then add the numerator (2).
2. The result, 29, becomes the numerator.
3. The denominator remains the same (3).
4. So, 9 2/3 as an improper fraction is 29/3.

Now, let's convert 6 3/4 into an improper fraction:

1. Multiply the whole number (6) by the denominator (4), then add the numerator (3).
2. The result, 27, becomes the numerator.
3. The denominator remains the same (4).
4. So, 6 3/4 as an improper fraction is 27/4.

Now, we can subtract the two improper fractions:

1. Find a common denominator, which in this case is 12 (the product of 3 and 4).
2. Convert both fractions so they have a denominator of 12.
3. Subtract the numerators: 29 - 27 = 2.
4. The result is 2/12.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. So, 2/12 simplifies to 1/6.

Therefore, 9 2/3 - 6 3/4 simplifies to 1 1/6.

Learn more about Subtraction of mixed numbers