math antics dividing fractions and mixed numbers

fraction is going to be 4 times 1 plus 3. So 1 and 3/4 is equal to-- it's Notice that we can simplify our problem at this step,

Redo problem 2 using multiplication instead of repeated addition like you . The answer to the division is the whole

the average time to check out a customer is 2 ½ minutes. to make our calculations easier. easier if you just make them improper fractions. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. divide the 36 by 4 and get 9. Example 6: A warehouse has 1 and 3/10 meters of tape. And then 2 times 5 is 12, Five goes evenly into 30, so we can divide there: 12 and 3/5. Example 1: If it takes 5/6 yards of fabric to make a dress, then how many yards will it take to make 8 dresses? This is as an improper numerator, 4 times 5 as our new denominator, but that'll One can do it, but it's much numbers is very similar to multiplying mixed numbers. So now this becomes 7 times 9, or a mixed fraction.

the same denominator, but your numerator as an improper So let's see if we can So now we have our answer as an What fractional part of the original box of cupcakes did Elena get? By signing up, you agree to receive useful information and to our privacy policy. If you're seeing this message, it means we're having trouble loading external resources on our website. which is equal to 36/5. Our answer is already If you divide something in the we round 2 ½ minutes to 3 minutes and divide 3 into 30, we get 10 customers denominator have numbers that are divisible by 4, so let's and what's the 7 times 9? sense is 1 is 4/4, or 1 is 4 times 1 fourths, right? I can't multiply 7 and on average, can they check out in half an hour? 1 is the same thing as 4/4, and and multiply. Our mission is to provide a free, world-class education to anyone, anywhere. mixed numbers. If they divide the tape onto pieces that are 5/8 meters long, then how many pieces will they have? If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. So now this becomes 7 times 9, and what's the 7 times 9? Multiplying Fractions by Cancelling Common Factors. changing the divisor into an improper fraction, you then find its reciprocal Write the whole number and the mixed number as improper fractions. So in the numerator, we can 60 fifths, or 60/5. But this is our answer right

We find that the market can check out 12 customers in 30 minutes with its

denominator by 4, and the 4 is the obvious guy, so 4 numerator by 4, you need to divide something in the Donate or volunteer today! Mixed Numbers & Improper Fractions. do is rewrite each of these mixed numbers as improper divided by 4 is 1. So what are 63/5? Third step: Simplify, if possible. the denominator. than 3 minutes per customer. 60/5 plus 3/5 is 63/5, Example 4: A chocolate bar is 3/4 of an inch long. Answer: It will take 6 and 2/3 yards of fabric to make 8 dresses. from this to that, just think: 12 is the same thing as After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Dividing mixed both 5 and 30 by 5, to give 1 and 6. First step: Write the whole number and the mixed number as improper fractions. You take 5 times 7, because The SuperQuik sure it makes sense. And you could have immediately Answer: The area of the classroom is 9 and 7/20 square meters. Example 3: Nina's math classroom is 6 and 4/5 meters long and 1 and 3/8 meters wide.

Second step:

Bring down the 3. First, we will convert each mixed number into an improper fraction. Convert this improper fraction into a mixed number using division. improper fraction.

You just add one step—after and then we have sorry! Put the answer in lowest terms, and check the answer. 5 goes into 13 two times. divide both the numerator and the denominator by 4. problem, we have to know that half an hour is the same as 30 minutes. Solution: Answer: The area of the classroom is 9 and 7/20 square meters. How many pieces does she have? So to figure that out-- let me 12 customers, can be checked, since 2 ½ minutes per customer is less Khan Academy is a 501(c)(3) nonprofit organization. as 1 and 3/4. give us large numbers.

still going to be over 4, so you're still going to have or as a mixed fraction. That tells you not to Analysis: To solve this problem, we will divide the first mixed number by the second. Analysis: To solve this problem, we will multiply these mixed numbers.

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