MEGA Elementary Education Multi-Content Practice Test

Which step illustrates the property of fractions when numerators and denominators are multiplied by the same number?

1. Lining up decimal points for subtraction

2. Moving decimal points in division

3. Rewriting mixed numbers as improper fractions

4. Finding the lowest common denominator

The correct answer is: Moving decimal points in division

The property of fractions states that if you multiply both the numerator and denominator of a fraction by the same non-zero number, the value of the fraction remains unchanged. This concept relates closely to the methods used when performing operations with fractions. When it comes to arithmetic involving fractions, particularly in division or multiplication, understanding how to manipulate these values while maintaining their equivalence is fundamental. In this context, moving decimal points typically refers to adjusting the numbers to facilitate easier calculations, particularly in division or multiplication, which may involve scaling. This could also translate to the manipulation of fractions when handled as decimals. The other choices do not directly illustrate the property of fractions. Lining up decimal points for subtraction pertains to decimal operation rather than a property of fractions. Rewriting mixed numbers as improper fractions is a technique used to simplify calculations, but it does not exemplify the aforementioned property of multiplying the numerator and denominator by the same value. Finding the lowest common denominator is related to adding and subtracting fractions, but it does not reflect the property of maintaining the fraction's value through the multiplication of equal factors in both the numerator and denominator.