Question

a number multiplied by a fraction is not always smaller than the original number explain this and give at least two examples to support your thinking

Answer 1

Sometimes, fractions can be written in 'improper' form, meaning that the top number (numerator) is bigger than the bottom number (denominator). So anything multiplied by a fraction like this will give a bigger number.

For example:
5 × 2/1 = 10
10 x 10/1 = 100

Answer 2

In fraction, the number above is called numerator and the bottom number called denominator.

 x          ⇒ numerator

 y          ⇒ denominator

There are many kinds of fraction, two of them are proper fraction and improper fraction.

Proper Fraction is when the numerator is smaller than the denominator, for example: ²/₃, ²/₄, ³/₅, ⁴/₈

When a number multiply by a proper fraction the result will smaller than the original number, for example number 15:

$\boxed {15 \times\frac{3}{5} = 9 }\\ \boxed {15 \times\frac{2}{10} = 3}$

We can see that the result is smaller than the original number.

Improper Fraction is when the numerator is bigger than the denominator, for example: ⁴/₃, ⁸/₃, ¹⁰/₄

Let's see what happen when number 15 multiplied by an  improper fraction

$\boxed {15 \times\frac{10}{3} = 50 }\\ \boxed {15 \times\frac{5}{3} = 25 }$

We can see that when a number multiplied by an improper fraction the result is bigger than the original number.

Learn More

Fraction additional brainly.com/question/11894522

Mixed fraction (part to whole relationship) brainly.com/question/2954545

Keywords: fraction, fraction additional, fraction multiplication, improper fraction, proper fraction, numerator, denominator