evaluate without using a calculator

216 2/3

What's to evaluate

216 2/3 = 216.66666...

27 5/3

To evaluate 216 2/3 without using a calculator, we need to convert the fraction into a decimal. Here's how you can do it:

Step 1: Convert the mixed number 2/3 into an improper fraction.
To do this, multiply the whole number (216) by the denominator of the fraction (3), and add the numerator (2). The result becomes the new numerator, and the denominator remains the same.
So, (216 × 3) + 2 = 650.
The improper fraction becomes 650/3.

Step 2: Divide the numerator (650) by the denominator (3).
650 ÷ 3 = 216 remainder 2.

Step 3: Add the whole number part (216) to the quotient from step 2 (216), and express the remainder (2) as a fraction with the same denominator (3).
The result is 216 2/3.

Thus, 216 2/3 equals 216.67 when rounded to two decimal places.