Convert Circle Sector to Fraction: Reading the Shaded Region

Question

Write the fraction shown in the diagram as a number:

00:00 Convert from drawing to simple fraction

00:04 To convert to a fraction, what's red will be in the numerator and black in the denominator

00:09 We can see that the whole is divided into 3 parts

00:14 Therefore we'll put 3 in the denominator

00:19 Out of all parts, only 2 are colored

00:22 Therefore we'll put 2 in the numerator

00:25 And this is the solution to the question

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 3 parts and 2 parts are coloured.

Hence:

$\frac{2}{3}$

$\frac{2}{3}$