Convert Improper Fraction 10/6 to Mixed Number Format

Question

Write the fraction as a mixed number:

106= \frac{10}{6}=

Video Solution

Step-by-Step Solution

To solve the problem of converting the improper fraction 106 \frac{10}{6} to a mixed number, follow these steps:

  • Step 1: Divide the numerator (10) by the denominator (6). The result is 10÷6=1 10 \div 6 = 1 with a remainder of 4.
  • Step 2: The quotient (1) becomes the whole number part of the mixed number.
  • Step 3: The remainder (4) forms the numerator of the fraction, while the original denominator (6) remains the same, giving us 46 \frac{4}{6} .
  • Step 4: Simplify the fraction 46 \frac{4}{6} by dividing both the numerator and the denominator by their greatest common divisor, which is 2, resulting in 23 \frac{2}{3} .

Thus, the improper fraction 106 \frac{10}{6} can be expressed as the mixed number 123 1\frac{2}{3} .

Comparing this with the answer choices, we see that choice "146\frac{4}{6}" before simplification aligns with our calculations, and simplification details the fraction.

Therefore, the solution to the problem is 123 1\frac{2}{3} or as above in the original fraction form before simplification.

Answer

146 1\frac{4}{6}