Emma's garden is 1/5 beans 1/8 peas and 1/2 corn the rest is planted with flowers what fraction is Emma's garden planted with vegetables?are there more flowers or peas in Emma's garden?

Tutors, sign in to answer this question.

1. Find the lowest common multiple (LCM) for the denominators of the fractions of vegetables.

1/5 beans, 1/8 peas, 1/2 corn; the least common multiple (LCM) of 5, 8 and 2 is 40.

40 then, is the common denominator for each crop.

2. Now, multiply each numerator (1, 1 and 1) by whatever number you must multiply each fraction's original denominator by to get the common denominator of 40.

5 (beans denominator) times 8 = 40, so the product of 1 (beans numerator) times 8 becomes the new numerator (8). The new beans fraction, then, is 8/40.

8 (peas denominator) times 5 = 40, so the product of 1 (peas numerator) times 5 becomes the new numerator (5). The new peas fraction then, is 5/40.

2 (corn denominator) times 20 = 40, so the product of 1 (corn numerator) times 20 becomes the new numerator (20). The new corn fraction, then, is 20/40.

3. Add the three new fractions: 8/40 + 5/40 + 20/40 = 33/40.

4. The total fraction of vegetables is 33/40.

5. If the total fraction of vegetables is 33/40, then the fraction of flowers would be 7/40, since the whole garden would be 40/40 of crops (33/40 + 7/40 = 40/40).

6. Knowing now that the flowers make up 7/40 of the garden, and knowing from step 2 that the peas make up 5/40 of the garden, we know that there are more flowers than peas (7/40 > 5/40).

The first thing would be to find out how much of the garden is vegetables.

To do that you need to add the areas of all the different vegetables.

1/5 + 1/8 + 1/2 =?

You will need to find a common denominator. A quick and easy way is to multiply all the denominators.

5 x 8 x 2 =80

Now convert each fraction to a fraction with a denominator or 80.

1/5 = ?/80 , 1/8 = ?/80 , 1/2 = ?/80

to do the first one; 5 goes into
80 16 times and 16 times 1= 16

(the 1 is the denominator of 5 or how many 5ths you have)

second 8 into 80 = 10 times and 10 times 1 = 10

third 2 into 80 = 40 and 40 times 1 = 40

so the fractions to add are

16/80 + 10/80 + 40/80 = 66/80

reduce by รท 2 = 33/40 of the garden is vegetables

since 33/40 is more than 1/2 there are more vegetables

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

## Comments