Convert Fraction to Mixed Number: Solving 7/4

Question

Write the fraction as a mixed number:

74= \frac{7}{4}=

Video Solution

Solution Steps

00:00 Write as a mixed fraction
00:03 Divide into whole number and remainder
00:07 Check how many times the denominator goes into the numerator
00:11 Subtract the whole number from the fraction to get the remainder
00:15 Combine into a mixed fraction
00:18 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll convert the improper fraction into a mixed number. Here's how:

  • Step 1: Perform division. Divide the numerator (7) by the denominator (4).
  • Step 2: Determine the whole number part. The division 7÷4 7 \div 4 equals 1 with a remainder of 3.
  • Step 3: Form the fractional part. Use the remainder (3) over the original denominator (4) to form the fractional part of the mixed number.

Now, let's work through each step:
Step 1: Calculate 7÷4 7 \div 4 which gives us a quotient of 1 and a remainder of 3.
Step 2: The whole number is 1.
Step 3: The fractional part is 34 \frac{3}{4} , which comes from the remainder over the original denominator.

Therefore, the mixed number is 134 1\frac{3}{4} .

Answer

134 1\frac{3}{4}