25 7/5 divided by 2 8/9
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Are you sure it is "25 7/5"?
a/b divided by x/y = a/b * y/x
To divide 25 7/5 by 2 8/9, follow these steps:
Step 1: Convert the mixed fractions to improper fractions.
- 25 7/5 = (25 * 5 + 7) / 5 = 132/5
- 2 8/9 = (2 * 9 + 8) / 9 = 26/9
Step 2: Invert the divisor fraction.
- Inverting 26/9, we get 9/26.
Step 3: Multiply the dividend by the inverted divisor.
- Multiplying 132/5 by 9/26, we get (132 * 9) / (5 * 26) = 1188/130.
Step 4: Simplify the fraction, if possible.
- The fraction 1188/130 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 6.
- Dividing 1188 by 6 gives us 198, and dividing 130 by 6 gives us 21.
- So, the simplified fraction is 198/21.
Answer: The result of 25 7/5 divided by 2 8/9 is 198/21.
To divide mixed numbers like 25 7/5 by 2 8/9, you can follow these steps:
1. Convert the mixed numbers to improper fractions.
- 25 7/5 = (25 × 5 + 7) / 5 = 132/5
- 2 8/9 = (2 × 9 + 8) / 9 = 26/9
2. Invert the divisor (the second fraction) and multiply it with the dividend (the first fraction).
- Multiply: 132/5 × 9/26
3. Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
- New fraction: (132 × 9) / (5 × 26) = 1188/130
4. Simplify the fraction, if possible.
- Divide the numerator and denominator by their greatest common divisor (GCD), which is 6 in this case.
- Simplified fraction: (1188 ÷ 6) / (130 ÷ 6) = 198/22
5. Check if the fraction can be reduced further. In this case, both the numerator and denominator are divisible by 2.
- Final simplified fraction: (198 ÷ 2) / (22 ÷ 2) = 99/11
Therefore, 25 7/5 divided by 2 8/9 equals 99/11.