Convert 10/7 to Mixed Number: Improper Fraction Transformation

Video Solution

Solution Steps

00:00 Write as a mixed fraction

00:03 Divide into whole number and remainder

00:09 Check how many times the denominator goes into the numerator

00:19 Subtract the whole number from the fraction to get the remainder

00:23 Convert to mixed fraction

00:27 And this is the solution to the question

Step-by-Step Solution

To solve the problem, we will convert the given improper fraction $\frac{10}{7}$ to a mixed number by dividing the numerator by the denominator.

Step 1: Divide the numerator (10) by the denominator (7). This gives a quotient and a remainder.
Step 2: Calculating $10 \div 7$ gives a quotient of 1 because 7 goes into 10 once.
Step 3: Multiply the quotient by the divisor ( $1 \times 7 = 7$ ).
Step 4: Subtract the product obtained in step 3 from the original numerator to find the remainder: $10 - 7 = 3$ .
Step 5: Compose the mixed number using the quotient as the whole number and the remainder over the divisor as the fraction part: $\frac{3}{7}$ .

Thus, the mixed number representation of $\frac{10}{7}$ is $\mathbf{1\frac{3}{7}}$ .