Convert 10/7 to Mixed Number: Improper Fraction Transformation

Because the fractional part of a mixed number must be less than 1! If you write $1\frac{10}{7}$, you're saying 1 plus $\frac{10}{7}$, which equals $\frac{17}{7}$, not $\frac{10}{7}$.

Stop when your remainder is smaller than the divisor. Since 10 ÷ 7 = 1 remainder 3, and 3 < 7, you stop here. The remainder 3 becomes your new numerator.

If there's no remainder, you have a whole number, not a mixed number! For example, $\frac{14}{7} = 2$ with no fractional part needed.

Yes, but be careful! A calculator gives you decimal form (like 1.428...). You'll need to convert that decimal part back to a fraction, which is harder than just using division with remainders.

Convert your mixed number back to an improper fraction: multiply the whole number by the denominator, add the numerator, then put it over the original denominator. It should equal your starting fraction!

$1\frac{3}{7}$ is a mixed number (1 whole plus $\frac{3}{7}$), while $\frac{13}{7}$ is an improper fraction. They're different values: $1\frac{3}{7} = \frac{10}{7}$ but $\frac{13}{7}$ is larger!