www.VirtualNerd.com

How Do You Write a Ratio From a Word Problem?

Michelle is pulling weeds from her garden. In one hour, she pulls 64 weeds, 48 of which are dandelions. Write a ratio in simplest form for the number of dandelions she pulls to the total number of weeds and explain its meaning.

Summary

  1. One way to write a ratio is as a fraction
  2. The first number, 48, goes in the numerator of the fraction
  3. The second number, 64, goes in the denominator of the fraction
  4. The greatest common factor (GCF) for 48 and 64 is 16
  5. We can divide the top and bottom by 16 to reduce the fraction
  6. Any number over itself is just 1, so dividing by 16/16 doesn't change the value of the ratio
  7. 48/64 reduces to 3/4
  8. So for every 4 weeds pulled, 3 of them were dandelions

Notes

    1. There are several ways to write a ratio
    2. We want to find the ratio of dandelions to total weeds
    3. We can write this simply by using 'to': 48 to 64
    1. To write the ratio in simplest form, it will be easiest to rewrite it as a fraction
    2. The first number, 48, goes in the numerator of the fraction
    3. The second number, 64, goes in the denominator of the fraction
    1. To reduce the fraction, you need to find the greatest common factor (GCF) of the numerator and denominator
    2. The GCF for 48 and 64 is 16, so we can divide the top and bottom by 16
    3. 48÷16 = 3
    4. 64÷16 = 4
    5. So our reduced fraction is 3/4
    1. The ratio of dandelions to total weeds pulled is 3 to 4
    2. So for every 4 weeds pulled, 3 of them were dandelions
    3. Another way of saying this is that three-fourths of the total weeds pulled were dandelions