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

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