MATH

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More Conversion

Denominator X Whole + Numerator ---------------------- Denominator 2 1/3 3x2=6+1=7=7/3 3 2/3 3x3=9+2=11/3

Conversion

First change mixed fractions to improper 2 1/3=3/3+3/3+1/3 =7/3

We are learning how to convert decimals to fractions and fractions to decimals

Fraction➡️Decimal -------------------- (Divide top by bottom) Decimal➡️Fraction -------------------- (Number of digits after the decimal determines the denominator) Power of ten --> 0.3-->3/10

We are learning how to divide fractions with models

Sharing 4/8➗2 | Determines number line, How long each section

Divide. 3 1/3➗2 1/2 Is it... a.1 1/3 b.8 1/3 c.3/4 d.1 1/5

The answer is a. 1 1/3

Explain how you can use a number line to find this quotient. 5➗1/4

You take 5 wholes on the number line and divide them into 1/4's then you highlight 5 1/4's which equals 1 1/4

Divide 2 1/2➗1/9

22 1/2

Subtract and write the answer in simplest form. 6/7-1/5

23/35

8/5-2/3=

24/15-10/15= 14/15

Use the digits 1,2,3 to make the greatest mixed number and the least mixed number. Then find the sum of the 2 mixed numbers.

3 1/2+1 2/3 =3 3/6+1 4/6 =4 7/6 =5 1/6

Last Wednesday it snowed 3 1/3cm. On Sunday it snowed 2 1/5cm. On which day did it snow more? By how many centimetres?

3 1/3-2 1/5 =3 5/15-2 3/15=1 2/15 It snowed 1 2/15cm more o Wednesday than Sunday

Multiply. 4/5x3/8

3/10

Write as many proper fractions as you can using the digits 3,5,7 and 11. List those fractions that are less than 1/2 and order them from least to greatest

3/5 3/7 3/11 5/7 5/11 7/11 Least to greatest 3/11 3/7 5/11 (1/2) 3/5 5/7 7/11

Order these fractions from least to greatest. 13/16, 31/80, 11/20 (Hint-make equivalent fractions)

31/80<11/20<13/16

Which fraction is greater 5/14 or 15/42?

5/14=15/42

Multiply. 31/5x2 1/3

7 7/15

We are learning the concept of a fraction

=2/3 2 is the numerator -------------------- 3 is the denominator 2/3-Proper fraction 3/2-Improper fraction 1 2/3- Mixed fraction CHANGE MIXED TO IMPROPER! 1+2 x — 3

7/4-3/5=

=35/20-12/20= 1 15/20-12/20 =1 3/20

17/10-5/6

=51/30-25/30 =26/30 REDUCE TO 13/15

We are learning how to multiply fractions using models

-Look at your denominators to draw your rectangle 1/2x2/3 ⬛️⬛️ (2x3) ⬜️⬜️ ⬜️⬜️ -Numerators tell you how many squares to colour -Answer, Double shaded --------------- Total squares

We are learning how to add fractions with different denominations

-when denominators are different find a common one (factor tree) -Set up equivalent fractions -Add top numbers -Change improper to mixed AND REDUCE

1 1/12+12 1/3

Make equivalent fractions. x4 ______ / \ 1/3 4/12 \ ______ / x4 1 1/12+ 12 4/12 =13 5/12

Write 34/18 as a mixed number. Is it... a.8/9 b.16 9/17 c.1 1/8 d.1 8/9

The answer is d. 1 8/9

Subtract and write the answer in simplest form. 4 1/2-1 5/8 is it... a.2 3/5 b.2 3/4 c.2 7/8 d.3 2/3

The answer is d. 3 2/3

Convert mixed to improper a.2 2/9 b.4 3/7

The answers are... A= 20/9 B=31/7

Reducing improper fractions to their lowest terms then convert any improper it mixed fractions a.78/21 b.21/18

The answers are... A=26/7=3 5/7 B=7/6=1 1/6

Write each decimal using bar notation. a.0.3434 343... b.0.777 777... c.0.166 666... d.0.361 361...

The answers are... — a.0.34 — b.0.7 — c.0.166 —- d.0.361

Write as decimals a. 4/5 b. 3/25 c.5/27 d.2 5/16

The answers are... a.0.8 b.0.12 c.0.18518519 d.2.3125

Types of fractions

3/4=Proper 7/2=Improper 3 2/3=Mixed

We are learning how to multiply fractions

-Cross reduce -Multiply numerators -Multiply denominators -Change mixed to improper -when multiplying whole numbers put them over 1 (9/1)

-Demonstrate an understanding of equivalent fractions -To practice methods on how to reduce fractions to simplest form.

-Equivalent Fractions ---------------------- ➡️different fractions that represent the same amount -Reducing Fractions --------------------- ➡️what is the biggest number that can go into both the top and bottom ➗7 _____ /. \ 7 3 — — 21 7 \_____/ ➗7

Divide. 1/5➗6/25 Is it... a.6/125 b.6/5 c. 5/6 d.125/6

The answer is c. 5/6

Add and write the sum in simplest form. 5 1/2+5 3/6. Is it... a.10 1/2 b.11 c.10 1/3 d.10 1/3

The answer is b. 11

Write 72/84 in simplest form. Is it... a.7/8 b.6/7 c.12/14 d.5/6

The answer is b. 6/7


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