find out if the fractions are proportional
show your work
1/2 and 2/4
3/5 and 9/15
To check if two fractions are proportional, we need to see if we can obtain one fraction by multiplying the numerator and denominator of the other fraction by the same nonzero number.
1/2 and 2/4:
To get from 1/2 to 2/4, we can multiply the numerator and denominator of 1/2 by 2. This gives us:
1/2 x 2/2 = 2/4
Since we can obtain one fraction from the other by multiplying both the numerator and denominator by the same nonzero number (2), the fractions 1/2 and 2/4 are proportional.
3/5 and 9/15:
To get from 3/5 to 9/15, we can multiply the numerator and denominator of 3/5 by 3. This gives us:
3/5 x 3/3 = 9/15
Since we can obtain one fraction from the other by multiplying both the numerator and denominator by the same nonzero number (3), the fractions 3/5 and 9/15 are proportional.