Convert Fraction 12/8 to Mixed Number: Step-by-Step Solution

Question

Write the fraction as a mixed number:

128= \frac{12}{8}=

Video Solution

Solution Steps

00:00 Write as a mixed fraction
00:03 Divide into whole number and remainder
00:08 Check how many times the denominator goes into the numerator
00:12 Subtract the whole number from the fraction to get the remainder
00:18 Subtract the whole number from the fraction to get the remainder
00:21 Combine into a mixed fraction
00:25 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to convert the improper fraction 128 \frac{12}{8} into a mixed number.

Here's how we'll do it:

  • The first step is to divide the numerator by the denominator: 12÷8 12 \div 8 .
  • This division gives us a quotient of 1 and a remainder of 4.
  • The quotient, 1, becomes the whole number part of our mixed number.
  • The remainder is used as the new numerator over the original denominator to form the fractional part: 48\frac{4}{8}.
  • The mixed number is thus 148 1\frac{4}{8} .
  • Finally, since 48\frac{4}{8} can be simplified, we reduce it to 12\frac{1}{2}.

Thus, the mixed number representation is correctly simplified as 112 1\frac{1}{2} .

However, when selecting from the given choices, the correct choice based on the options provided is 148 1\frac{4}{8} (Choice 4), which matches the unsimplified form.

Therefore, the solution to the problem is 148 1\frac{4}{8} .

Answer

148 1\frac{4}{8}