Dividing Mixed Numbers

Grade 7 Math Worksheets

How do you divide mixed numbers?

Download Worksheet - Dividing Mixed Numbers

Schedule a Free session to clear worksheet doubts

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

See the examples below to be more clear.

Example: 2 $\frac{1}{3} \div$ 2 $\frac{5}{9}$

Step 1: To convert 2 $\frac{1}{3}$ to improper fraction, multiply the whole number, 2 by the denominator, 3, which means 2 × 3 = 6

Add numerator to the above product, so 6 + 1 = 7

2 $\frac{1}{3}$ to improper fraction is $\frac{7}{3}$ .

Similarly, 2 $\frac{5}{9}$ to improper fraction involve the following steps:

(2 × 9) + 5 = 18 + 5 = 23

2 $\frac{5}{9}$ to improper fraction is $\frac{23}{9}$ .

Step 2: In terms of improper fractions, the given problem is $\frac{7}{3} \div$ $\frac{23}{9}$

Step 3: Take the reciprocal of the second fraction and convert division symbol to multiplication symbol.

$\frac{7}{3}$ $\div$ $\frac{23}{9}$ = $\frac{7}{3}\times$ $\frac{9}{23}$

Step 4: Reduce to lowest terms and leave the answer as it is or write it as a mixed fraction.

$\frac{7}{3}\times$ $\frac{9}{23}$ = 7 $\times\frac{3}{23}$ = $\frac{21}{23}$

Example 2: David made $1\frac{1}{2}$ quart of pineapple shake. If each glass can hold $\frac{1}{6}$ of a quart, then how many glasses can David fill?

Solution: To find the number of glasses David can fill, divide the amount of shake David has made with the amount each glass can hold.

So, number of glasses David can fill =1 $\frac{1}{2}$ ÷ $\frac{1}{6}$ = $\frac{3}{2}$ ÷ $\frac{1}{6}$ = $\frac{3}{2}$ × 6 = 3 × 3 = 9 (Answer)

Check Point

1 $\frac{5}{6}$ $\div\frac{7}{10}$
5 $\frac{2}{3}$ $\div$ 1 $\frac{1}{6}$
Jessica roasted almonds $4\frac{2}{5}$ pounds and then puts $\frac{1}{5}$ pound almonds to each bag. How many bags of almonds can Jessica fill?

1 $\frac{1}{6}$ $\div$ $2\frac{1}{2}$
A bakery shop uses $\frac{1}{12}$ of a bag of sugar for each batch of donuts. If the shop used $\frac{1}{3}$ bag of sugar on Tuesday, how many batches of donuts did the shop made on Tuesday?

Answer key

$2\frac{13}{21}$
$4\frac{6}{7}$
22 bags
$\frac{7}{15}$
4 batches

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

Schedule a Free Session

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Pricing for Online Tutoring

Tutoring Package	Validity	Grade (1-12), College
5 sessions	1 Month	$139
1 session	1 Month	$28
10 sessions	3 months	$269
15 sessions	3 months	$399
20 sessions	4 months	$499
50 sessions	6 months	$1189
100 sessions	12 months	$2249