Solve the Fraction: (100+1)/25 - Step-by-Step Division

Because $4\frac{1}{2} = 4.5$, but $\frac{101}{25} = 4.04$. When converting improper fractions to mixed numbers, the remainder stays over the original denominator, which is 25.

Follow these steps: 1) Divide the numerator by denominator 2) The quotient becomes the whole number 3) The remainder becomes the new numerator 4) Keep the same denominator. So $\frac{101}{25}$ becomes $4\frac{1}{25}$.

No! The answer 4 ignores the remainder completely. $\frac{101}{25}$ equals exactly $4\frac{1}{25}$, which is slightly more than 4. Always include the fractional part!

Always solve inside the parentheses first! If you divide before adding, you get $\frac{100}{25} + 1 = 4 + 1 = 5$, which is wrong. The correct way: $100 + 1 = 101$, then $\frac{101}{25}$.

Convert the mixed number back to an improper fraction: $4\frac{1}{25} = \frac{4 \times 25 + 1}{25} = \frac{100 + 1}{25} = \frac{101}{25}$. This matches our original expression!