Operations with fractions
1/2-1/4x1/8-1/16
13/16
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
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
Express as a fraction:
3,53
0,15
153,7
3,53= 353/100
0,15= 15/100
153,7=1537/10
Juan has drunk two soft drinks of 1/5 of a litrer 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
(3/5-1/4+2)-(3/4-2/5+1)
1
-1/3, -7/8, -9/12, -3/4
-7/8 < -9/12 =-3/4 < -1/3
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
Express as a fraction:
0,52525252...
125,383838...
152,132132132...
0,52525252...= 52/99
125,383838...=12413/99
152,132132132...=151980/999
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
(1+1/3)-(3/4+1/2)x(1/3-1/4)
59/48
Indicate to which set or sets the following numbers belong
3, -12, 80/5
3= Natural, Integer and rational and Real
-12= Integer and rational and Real
80/5=Natural, Integer ,Rational and Real
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
Express as a fraction:
2,576767676...
0,2393939...
38,026666...
2,576767676...=2551/990
0,2393939...=237/990
38,026666...=34224/900
From a tank with 5.250 litres of water, Braulius gets 4/15, Eric gets 2/5 and Rupert gets the rest. Rupert uses 3/10 of his part to water his tomatoes, and the rest to water his fruit trees. How much water does he use for his fruit trees?
Rupert gets 1- 4/15 - 2/5 = 5/15=1/3
he waters his tomatoes 3/10 of 1/3 = 1/10
he waters his fuit trees 7/10 of 1/3 = 7/30
7/30 of 5.250 = 1.225 litres
Rupert uses 1.225 litres for his fruit trees.
(5/2-5/6+2/3x1/4):[2-1/2(1+5/3)]
11/4
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
Without dividing, find which fractions are exact decimals and which are repeating decimals.
10/25, 9/135, 3/15, 14/98
10/25= 2/5 Exact decimal
9/135 = 1/15 Repeating decimal
3/15=1/5 Exact decimal
14/98=1/7 Repeating decimal
Express as a fraction:
35'79144444444444.......
35'79144444444444.......= 322123/9000
2/3(3/4-1/2)^2-1/6(5/6-1/3)^2
0
Indicate to which set or sets the following numbers belong:
sqrt(2), 35.85858585...., 1.01001000100001..., 0,53, 3/10
sqrt(2)= irrational and real number
35.85858585....= rational and real number
1.01001000100001...= irrational and real number
0,53= rational and real number
3/10= rational and real number
Express as a fraction:
18'0912434343434343434.....
18'0912434343434343434.....=17910331/990000
Three friends win a prize, which they split like this: Mary gets 2/5 of the total; Monica gets 2/3 of what Mary gets, and Paula gets the rest. Each friend donates 1/6 to a charity.
If Monica has 36 € after making her donation, what fraction of the total did each friend get?
How much money did each one get (after donation)?
Mary gets 162 · 1/3 = 54 €;
Monica gets 36 €,
and Paula gets 162 · 5/18 = 45 €.
solve in page 20