-5 1/3 divided by 2/3
(16/3) / (2/3)
(16/3) * (3/2) = 48/6 = 8
5 1/3=16/3 and 2/3. switch the 2 and the 3 to make 16/3 x 3/2.16 x 3=48 and 3 x 2=6. so, 48/6=8.
To divide the fraction -5 1/3 by 2/3, you can follow these steps:
Step 1: Convert the mixed number -5 1/3 into an improper fraction. To do this:
- Multiply the whole number (-5) by the denominator of the fraction (3): -5 × 3 = -15.
- Add the result to the numerator (1): -15 + 1 = -14.
- Write the obtained sum (-14) over the denominator (3): -14/3.
Step 2: Now, you can divide the obtained fraction -14/3 by 2/3:
- When dividing fractions, you can simply multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. This is also known as "flipping and multiplying."
- So, you multiply -14/3 by 3/2: (-14/3) × (3/2).
- Multiply the numerators (-14 × 3) to get -42, and multiply the denominators (3 × 2) to get 6.
- Write the result as a fraction: -42/6.
Step 3: Simplify the fraction -42/6, if possible:
- Both the numerator (-42) and denominator (6) can be divided by 6.
- Simplifying the fraction gives: -42 ÷ 6 = -7.
- The simplified result is -7.
Therefore, -5 1/3 ÷ 2/3 equals -7.