Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

decompose the rectangle to find a fraction equivalent to one tenth. $$ …

Question

decompose the rectangle to find a fraction equivalent to one tenth.

$$ \frac { 1 } { 10 } = \frac { \square } { \square } $$

Explanation:

Step1: Count the number of rows

The rectangle is divided into 10 rows.

Step2: Decompose further

If we consider each row as being made up of 2 equal - parts (for example, by drawing a horizontal line through the middle of each row), then the total number of parts in the rectangle becomes \(10\times2 = 20\). And the shaded part (originally 1 out of 10 rows) now becomes 2 out of 20 parts.

Answer:

\(\frac{1}{10}=\frac{2}{20}\)