Convert Mixed Number 6¾ to an Improper Fraction

Question

$6\frac{3}{4}=$

00:00 Convert to decimal fraction

00:03 Break down the number into whole number and fraction

00:10 We want the denominator to be some multiple of 10 and 10

00:13 Make sure to multiply both numerator and denominator

00:24 Convert to decimal fraction

00:37 Add up

00:50 And this is the solution to the question

To solve this problem, we'll convert the mixed number $6\frac{3}{4}$ into a decimal by following these steps:

Step 1: Convert the fractional part $\frac{3}{4}$ into a decimal.
To do this, compute $\frac{3}{4} = 3 \div 4 = 0.75$ .
Step 2: Add the decimal result to the whole number.
The whole number given is 6, so we add: $6 + 0.75 = 6.75$ .

Therefore, the correct decimal representation of $6\frac{3}{4}$ is $6.75$ .

$6.75$