Convert Fraction 8/5 to Mixed Number: Step-by-Step Solution

Question

Write the fraction as a mixed number:

85= \frac{8}{5}=

Video Solution

Solution Steps

00:00 Write as a mixed fraction
00:03 Divide into whole number and remainder
00:06 Check how many times the denominator goes into the numerator
00:11 Subtract the whole number from the fraction to get the remainder
00:14 Convert to mixed fraction
00:17 And this is the solution to the question

Step-by-Step Solution

To convert the improper fraction 85 \frac{8}{5} into a mixed number, follow these steps:

  • First, divide the numerator (8) by the denominator (5).
  • The division 8÷5=1 8 \div 5 = 1 gives us the whole number part of the mixed number, because 5 fits into 8 a maximum of once.
  • Next, calculate the remainder of the division. The remainder is 85×1=3 8 - 5 \times 1 = 3.
  • Thus, our remainder of 3 becomes the numerator of the fractional part of our mixed number.
  • The denominator of the fraction remains the same, which is 5.

Combining these parts, the mixed number from the fraction 85 \frac{8}{5} is 135 1\frac{3}{5} .

Therefore, the correct answer is 135 1\frac{3}{5} .

Answer

135 1\frac{3}{5}