8 2/3 - 1 7/9 as a Fraction
To subtract mixed numbers, we first need to convert them into improper fractions.
Step 1: Convert mixed numbers into improper fractions.
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8 2/3: Multiply the whole number (8) by the denominator (3) and add the numerator (2). This gives us 24 + 2 = 26. Keep the same denominator (3). So, 8 2/3 is equal to 26/3.
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1 7/9: Multiply the whole number (1) by the denominator (9) and add the numerator (7). This gives us 9 + 7 = 16. Keep the same denominator (9). So, 1 7/9 is equal to 16/9.
Step 2: Find a common denominator.
The least common denominator for 3 and 9 is 9.
- 26/3: Multiply the numerator and denominator by 3: (26 * 3) / (3 * 3) = 78/9
Step 3: Subtract the fractions.
Now we have: 78/9 - 16/9
Subtract the numerators and keep the denominator: (78 - 16) / 9 = 62/9
Step 4: Simplify the fraction (if possible).
The fraction 62/9 is already in its simplest form.
