Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. use this principle to recognize and generate equivalent fractions.

We obtain equivalent fractions by multiplying both numerator and denominator by one constant:

Step-by-step explanation:

Equivalent fractions are fractions that represent the same quantity. We obtain equivalent fractions by multiplying both numerator and denominator by one constant:

For instance, in this case, we have these equivalent fractions for n=2,and n=3:

So, if we place any given constant and multiply both numerator and denominator then we have equivalent fractions.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500