Page 27 - NUMINO Challenge_B2

3 Fractions

Basic Concepts Equivalent Fractions

When the numerator and denominator are multiplied by the same
number, the value of the fraction remains the same. When the numerator
and denominator are divided by the same non-zero number, the value of
the fraction remains the same.

When the numerator and denominator of a fraction cannot be divided by
the same number, excluding 1, the fraction is in its simplest form.

1 , 2 , 5 , 7 ,
2 3 8 9

Equivalent fractions can be made by multiplying the same number to the
numerator and denominator of a fraction in its simplest form.

1 12 13 14
2 22 23 24

Example Find how many fractions are equivalent to 4 when both the
12

numerator and denominator are smaller than 50.

Class Notes

Divide the numerator and denominator of 4 by to find its simplest form: 1 .
12 3

Since the value of a fraction remains the same when you multiply or divide the numerator
and denominator by the same number, multiply the numerator and denominator by 2, 3, 4,
... to find equivalent fractions.

12 4
36 12

Since both the numerator and denominator must be smaller than 50, the greatest fraction

that is equivalent to 4 is , which is found by multiplying 16 to the simplest form: 1 .
12 3

Therefore, the number of fractions that are equivalent to 4 is 16 1 .
12

Try It Again If both the numerator and denominator are greater than 5 but
smaller than 50, how many fractions are equivalent to 5?

24 NUMINO Challenge B2