Respuesta :

Question:

Which represents [tex]2 \frac{3}{6}[/tex] as the sum of a whole number and a fraction?

[tex]2+ \frac{3}{6}[/tex]

[tex]3 + \frac{3}{6}[/tex]

[tex]3+ \frac{5}{6}[/tex]

[tex]4+ \frac{1}{6}[/tex]

Answer:

[tex]2 \frac{3}{6}[/tex] as the sum of a whole number and a fraction is equivalent to [tex]2+ \frac{3}{6}[/tex]

Step-by-step explanation:

Given

Mixed Fraction:  [tex]2 \frac{3}{6}[/tex]

Required

Express as the sum of a whole number and fraction.

Given that [tex]2 \frac{3}{6}[/tex]  is a mixed fraction; it can be converted to the sum of a whole number and a fraction by following the steps below.

1. Convert the mixed fraction to improper fraction

[tex]2 \frac{3}{6} = \frac{(6 * 2 + 3)}{6}[/tex]

2. Split the numerator

[tex]2 \frac{3}{6} = \frac{((6 * 2) + (3))}{6}[/tex]

3. Split fraction to 2

[tex]2 \frac{3}{6} = \frac{(6 * 2)}{6} +\frac{(3)}{6}[/tex]

Simplify

[tex]2 \frac{3}{6} = \frac{(12)}{6} +\frac{(3)}{6}[/tex]

[tex]2 \frac{3}{6} = 2 + \frac{3}{6}[/tex]

Hence, [tex]2 \frac{3}{6}[/tex] as the sum of a whole number and a fraction is equivalent to [tex]2+ \frac{3}{6}[/tex]