Question

Using a Giant One, you can rewrite any fraction as a different fraction that represents the same portion of a whole. Fractions that are equal but that are written in different ways are called equivalent fractions. For each fraction below, make three new fractions that are equivalent.

a. 1/2
b. 10/12

Answer 1

To find three new fractions that are equivalent to 1/2, multiply the numerator and denominator by the same nonzero whole number. To find three new fractions that are equivalent to 10/12, simplify the fraction by dividing the numerator and denominator by their greatest common divisor.

Step-by-step explanation:

Equivalent fractions are fractions that represent the same portion of a whole but are written with different numbers. To find three new fractions that are equivalent to 1/2, we can multiply both the numerator and denominator by the same nonzero whole number. For example, multiplying 1/2 by 2/2 gives us 2/4, multiplying by 3/3 gives us 3/6, and multiplying by 4/4 gives us 4/8.

Similarly, to find three new fractions that are equivalent to 10/12, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. Dividing 10 and 12 by 2 gives us 5 and 6, so one fraction equivalent to 10/12 is 5/6. Multiplying 5/6 by 2/2 gives us 10/12, and multiplying by 3/3 gives us 15/18. Thus, the three fractions equivalent to 10/12 are 5/6, 15/18, and 10/12 itself.