In this lesson we resolve fraction divisions by thinking just how many kind of times the divisor "fits" or "goes into" the dividfinish. For example, the fractivity 1/4 goes into five 20 times, so 5 ÷ (1/4) = 20. The leschild has actually several exercises through visual models and also many kind of word problems. The previous leskid had to carry out via dividing fractions by totality numbers.In the video, I explain two different division instances where we don"t need to use the "rule" or shortcut for fraction department, but rather can use mental math. The initially is once a portion is divided by a entirety number. The second is as soon as the answer to a fraction department is a whole number.
You are watching: How many times can 4 go into 6
How many times does one thing fit into another?You have the right to always write a department from this situation. Think: “How many times does the divisor go into the dividend?” | |||
How many times does | go into | ? |
Eight times. We have the right to compose a division: 2 ÷ | 1 4 | = 8. |
Then check the division: 8 × | 1 4 | = | 8 4 | = 2. |
1 2 | go into | 3? |
Six times. We can write a division: 3 ÷ | 1 2 | = 6. |
Then inspect the division: 6 × | 1 2 | = | 6 2 | = 3. |
1.Solve. Write a division. Then create a multiplication that checks your division.
a.How many kind of times does |
| go into | ? |
2 ÷ | 1 3 | =_____ |
Check: ____ × | 1 3 | = |
go into | ? |
1 ÷ | 1 4 | = _____ |
Check: ____ × | 1 4 | = |
go into | ? |
6 ÷ | 1 3 | =____ |
go into | ? |
5 ÷ | 1 4 | =____ |
e. How many times does | go into | ? |
____ | ÷ | = |
go into | ? |
____ | ÷ | ____ | = |
1 6 | go into 2? |
____ | ÷ | ____ | = |
1 5 | go right into 3? |
____ | ÷ | ____ | = |
a. 3 ÷ | 1 6 | = |
1 9 | = |
1 8 | = |
1 2 | = |
1 7 | = |
1 5 | = |
1 3 | = |
Did you notification a pattern? Tright here is a shortcut to splitting a totality number by a unit fraction! | ÷ | 1 4 | |
↓ | ↓ | ||
5 | × | 4 | = 20 |
÷ | 1 8 | ||
↓ | ↓ | ||
3 | × | 8 | = 24 |
÷ | 1 7 | ||
↓ | ↓ | ||
9 | × | 7 | = 63 |
Why does it job-related that way? For example, think about the problem 5 ÷ (1/4). Because 1/4 goesinto 1 precisely 4 times, it should go into 5 specifically 5 × 4 = 20 times.
3.Solve. Use the shortreduced.
a. 3 ÷ | 1 6 | = |
1 5 | = |
1 10 | = |
1 10 | = |
1 4 | = |
1 8 | = |
1 10 | = |
1 8 | = |
4. Write a division for each word difficulty, and settle. Do not create just the answer.
a. How many kind of 1/2-meter pieces can you reduced from a roll of string that is 6 meters long? |
b. How many 1/4-cup servings have the right to you acquire from 2 cups of almonds? |
c. Ben has small weights that weigh 1/10 kg each. How many of those would he must make 5 kg? |
d.An eraser is 1/8 inches thick. How many erasers can be stacked into a 4-inch tall box? |
a. 2 ÷ | 1 2 | = |
b. 5 ÷ | 1 3 | = |
6. These departments are not as simple as the previous ones, however they are not tough either. Aobtain, think exactly how many times the divisor goes right into the dividfinish. The photos have the right to help.
a. 4 ÷ | 2 3 | = |
4 5 | = |
5 6 | ÷ | 1 6 | = |
6 10 | = |
5 9 | ÷ | 4 9 | = |
4 8 | ÷ | 5 8 | = |
7. Write a division and also fix. Write likewise a multiplication to check your division.
a. How many type of times does | go into | ? |
÷ | ____ | = | ____ |
× | ____ | = | ____ |
go into | ? |
÷ | ____ | = | ____ |
× | ____ | = | ____ |
go into | ? |
÷ | ____ | = | ____ |
× | ____ | = | ____ |
go into | ? |
÷ | ____ | = | ____ |
× | ____ | = | ____ |
8. A recipe calls for 1/2 cup of butter, among various other ingredients. Alikid had actually plenty of every one of the other ingredients other than the butter. How many kind of batches of the recipe deserve to she make if she has ...
a. 3 cups of butter?
b. 2 ½ cups of butter?
9. Jackie made three apple pies and divided them into twelfths. She plans on serving 2 slices to each guest. How many servings will certainly she acquire out of the three pies? Hint: Draw a photo.
10. How many kind of 2/10-liter servings perform you gain from 1 liter of juice?
Out of 4 liters of juice?
11. When Natalie goes jogging, she jogs for 1/4 mile, then walks for 1/4 mile, then aacquire jogs for 1/4 mile, and also so on. How many such stretches are there for her in a jogging track that is 2 1/2 miles long?
12. Jill provides bead necklaces that need to be precisely 24 inches lengthy. She has actually dimension SS beads, which are 1/8-inch thick, and also size S beads, which are 1/4-inch thick.
Bead | Width |
SS | 1/8 in |
S | 1/4 in |
a.How many type of beads would be in a necklace made specifically of SS beads?
b.How many type of beads would be in a necklace made exclusively of S beads?
c.She likewise renders a necklace through the pattern SS-S-SS-S. How many of each type of bead does she need?
A self-teaching workmessage that teaches fractions using visual models, a sequel to Math Mammoth Fractions 1. The book covers simplifying fractions, multiplication and also department of fractions and also mixed numbers, converting fractions to decimals, and ratios.
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Downfill ($5.75). Also available as a printed copy.