Write each mixed number as an improper fraction. $2\frac{3}{5}$

Verified step by step guidance

1. Identify the whole number and the fractional part of the mixed number. Here, the whole number is 2 and the fractional part is \( \frac{3}{5} \).
2. Convert the whole number to a fraction with the same denominator as the fractional part. Since the denominator is 5, write 2 as \( \frac{2 \times 5}{5} = \frac{10}{5} \).
3. Add the fraction from the whole number to the fractional part: \( \frac{10}{5} + \frac{3}{5} \).
4. Since the denominators are the same, add the numerators: \( \frac{10 + 3}{5} \).
5. Write the result as the improper fraction: \( \frac{13}{5} \).

Key Concepts

Mixed Numbers

A mixed number combines a whole number and a proper fraction, such as 2 3/5. It represents a value greater than one whole but less than the next whole number plus a fraction.

Improper Fractions

An improper fraction has a numerator equal to or larger than its denominator, representing a value equal to or greater than one whole. For example, 13/5 is an improper fraction.

Conversion from Mixed Number to Improper Fraction

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For 2 3/5, calculate (2×5)+3 = 13, so the improper fraction is 13/5.