Operations with fractions
Comparing fractions / set of numbers
Exact Decimals o repeating decimals
Going from decimals to fractions
Solve problems
100

1/2-1/4x1/8-1/16

13/16

100

Order the fractions and put them from least to greatest.

4/6, 3/5, 1/3, 9/10, 7/15

1/3 < 7/15 < 3/5 < 4/6 < 9/10

100

What type of number is each of the following?

2,3581

2,10385858585...

3,57575757...

1,33333...

0,07777....

0,35

3,1415926....

2,3581 exact decimal

2,10385858585...  mixed repeating decimal

3,57575757.... pure repeating decimal

1,33333...pure repeating decimal

0,07777....mixed repeating decimal

0,35 exact decimal

3,1415926.... Irrational number

100

Express as a fraction:

3,53

0,15

153,7

3,53= 353/100

0,15= 15/100

153,7=1537/10

100

Juan has drunk two soft drinks of 1/5 of a liter and two of 1/3 of a liter. Laura has drunk one of a liter. Juan says he has drunk more that Laura. Is right? Why?

Juan has drunk 13/15 which is less than the unit, for this reason Laura has drunk more than Juan

200

(3/5-1/4+2)-(3/4-2/5+1)

1

200

-1/3, -7/8, -9/12,  -3/4

-7/8 < -9/12 =-3/4 < -1/3

200

Without dividing, find which fractions are exact decimals and whicih are repeating decimals.

87/21  11/200, 7/12

87/21= repeating decimals

11/200=exact decimals

7/12 =repeating decimals

200

Express as a fraction:

0,52525252...

125,383838...

152,132132132...

0,52525252...= 52/99

125,383838...=12413/99

152,132132132...=151980/999

200

A traveler travels on the first day 2/7 of his trip, the second day on 3/10, the third on 5/14 and the fourth day concludes the trip by doing 20km. What is the total route and each one of the days?

The travel= 350 km

1º day= 100 km

2º day= 105 km

3º day= 125 km

4º day= 20 km

300

(1+1/3)-(3/4+1/2)x(1/3-1/4)

59/48

300

Indicate to which set or sets the following numbers belong

3, -12, 80/5

3= Natural, Integer and rational

-12= Integer and rational

80/5= rational, integer and natural

300

Without dividing, find which fractions are exact decimals and whicih are repeating decimals.

5/2, 23/15, 9/125

5/2= Exact decimal

 23/15= repeating decimal

 9/125= Exact decimal

300

Express as a fraction:

2,576767676...

0,2393939...

38,026666...

2,576767676...=2551/990

0,2393939...=237/990

38,026666...=34224/900

400

(5/2-5/6+2/3x1/4):[2-1/2(1+5/3)]

11/4

400

Indicate to which set or sets the following numbers belong

-18/3, +sqrt (25), 1´03128282828

-18/3= integer, rational

+sqrt (25)= rational, integer, natural

1´03128282828= rational

500

2/3(3/4-1/2)^2-1/6(5/6-1/3)^2

0

500

Indicate to which set or sets the following numbers belong:

sqrt(2), 35.85858585....,  1.01001000100001..., 0,53, 3/10

sqrt(2)= irrational number

35.85858585....= rational number

1.01001000100001...= irrational number

0,53= rational number 

3/10= rational number 

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