Two-fourths and four-eights are equivalent since they are integer multiples of each other.
<h2 /><h2>Equivalent fractions</h2>
Equivalent fractions are fractions whose values are equal and are integral multiples of each other. That is, one fraction is gotten from the other by either multiplying or dividing its numerator and denominator by the same integer.
For example, 2/5 = 4/10
Since 2/5 = 2 × 2/(5 × 2) = 4/10
Also, 4/10 = 4 ÷ 2/(10 ÷ 2) = 2/5
So, both 2/5 and 4/10 are equivalent fractions since we either multiply or divide both the numerator and denominator of one to get the other.
<h3 /><h3>To show that two-fourths and four-eights are equivalent,</h3>
So, to show that two-fourths and four-eights are equivalent,
two-fourths = 2/4 and four-eights = 4/8.
To show that these are equivalent, we need to show that their numerator and denominators are integer multiples of each other.
So, 2/4 = 2 × 2/(4 × 2) = 4/8
Also, 4/8 = 4 ÷ 2/(8 ÷ 2) = 2/4
Since 2 × 2/(4 × 2) = 4/8, we multiply 2/4 by 2/2 to get 4/8.
So, two-fourths and four-eights are equivalent since they are integer multiples of each other.
Learn more about equivalent fractions here:
brainly.com/question/17220365
