4 1/3÷1 2/9
Enter your answer, as a mixed number in the simplest form.
1 8/9 x 3/5
To divide mixed numbers, you can follow these steps:
1. Convert both mixed numbers into improper fractions.
- The first mixed number, 4 1/3, can be converted into an improper fraction by multiplying the whole number (4) by the denominator (3) and adding the numerator (1), resulting in (4 * 3 + 1 = 13/3).
- The second mixed number, 1 2/9, can be converted into an improper fraction by multiplying the whole number (1) by the denominator (9) and adding the numerator (2), resulting in (1 * 9 + 2 = 11/9).
2. Find the reciprocal of the divisor (the second fraction).
- The reciprocal of 11/9 is 9/11.
3. Multiply the dividend (the first fraction) by the reciprocal of the divisor.
- Multiply 13/3 by 9/11:
(13/3) * (9/11) = (13 * 9) / (3 * 11) = 117/33.
4. Simplify the resulting fraction.
- In this case, we can divide the numerator and the denominator of 117/33 by their greatest common divisor, which is 3.
- 117/3 = 39, and 33/3 = 11.
- So, 117/33 simplifies to 39/11.
5. Express the resulting fraction as a mixed number.
- Divide the numerator (39) by the denominator (11).
- 39 divided by 11 equals 3 with a remainder of 6.
- Therefore, the result is 3 6/11.
So, the answer to the division of 4 1/3 by 1 2/9, expressed as a mixed number in the simplest form, is 3 6/11.
It asks how many 1 2/9 are there in 4 1/3
You could convert everything to improper fractions then work it out.
We will check your answer.