ISEE Middle Level Quantitative : How to add fractions
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Example Questions
Example Question #21 : Numbers And Operations
When adding fractions with different denominators, first change the fractions so that the denominators are equal. To do this, find the least common multiple of 3 and 9. Some multiples of 3 and 9 are:
3: 3, 6, 9, 12...
9: 9, 18, 27, 36...
Since the first multiple shared by 3 and 9 is 9, change the fractions so that their denominators equal 9. 
The problem now looks like this:
Solve by adding the numerators. The result is your answer.
Example Question #12 : How To Add Fractions
(a)
(b)
(a) is the greater quantity
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
Also,
so
Example Question #11 : How To Add Fractions
Which is the greater quantity?
(a) The fraction of the circles that are shaded
(b) The fraction of the squares that are shaded
(a) is the greater quantity
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(a) and (b) are equal
(a) and (b) are equal
1 of the 4 circles in the diagram - 
Example Question #14 : How To Add Fractions
Refer to the above figures. The circle and the square are both divided into regions of equal size and shape.
Which is the greater quantity?
(a) The fraction of the circle that is white
(b) The fraction of the square that is white
(b) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) is the greater quantity
The circle is divided into sixteen regions of equal size, eleven of which are white; this is 
and
Example Question #12 : How To Add Fractions
Refer to the above diagrams. Each figure is divided into sections of equal size and shape.
Which is the greater quantity?
(a) The fraction of Figure 1 that is shaded
(b) The fraction of Figure 2 that is shaded
(b) is the greater quantity
(a) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(a) and (b) are equal
Figure 1 is a rectangle divided into 24 squares of equal size; 3 of the squares are shaded, which means that 
Figure 2 is a circle divided into 8 sectors of equal size; 1 is shaded, which means that 
The fractions are equal.
Example Question #13 : How To Add Fractions
Refer to the above diagrams. Each figure is divided into sections of equal size and shape.
Which is the greater quantity?
(a) The fraction of Figure 1 that is shaded
(b) The fraction of Figure 2 that is shaded
(a) is the greater quantity
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
Figure 1 is a rectangle divided into 24 squares of equal size; 8 of the squares are shaded, which means that 
Figure 2 is a triangle divided into 4 triangles of equal size; 1 is shaded, which means that 
The fraction of Figure 1 that is shaded is the greater quantity.
Example Question #14 : How To Add Fractions
The square and the triangle in the above diagram are both equally divided. Which is the greater quantity?
(a) The fraction of the square that is shaded
(b) The fraction of the triangle that is shaded
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(a) is the greater quantity
(b) is the greater quantity
(a) and (b) are equal
The square is divided into eighteen triangles of equal size and shape; nine are shaded, so the fraction of the square that is shaded is
The triangle is divided into sixteen triangles of equal size and shape; eight are shaded, so the fraction of the square that is shaded is
The fractions are equal.
Example Question #1 : Adding Fractions In Word Problems
In Charlie's pantry, 
To solve this problem, we are putting the potato chips and the tortilla chips together, so we add the fractions.
Example Question #1 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d
In Stuart's pantry, 
To solve this problem, we are putting the chips and the cereal together, so we add the fractions.
Example Question #1 : Adding Fractions In Word Problems
In Andy's pantry, 
To solve this problem, we are putting the chips and the cereal together, so we add the fractions.
All ISEE Middle Level Quantitative Resources
