Question
Reduce the fraction to simplest from: $\frac{12}{52}$
✓
Answer
Factors of $12$ are $1, 2, 3, 4, 6$ and $12$
Factors of $52$ are $1, 2, 4, 13, 26$ and $52.$
$\therefore$ Common factors of $12$ and $52$ are $1, 2$ and $4.$
Highest of these common factors is $4.$
$\therefore H.C.F.$ of $12$ and $52$ is $4.$
Now,$\frac{12}{52}=\frac{12\div4}{52\div4}=\;\frac3{13}$
Hence, the simplest form of $\frac{12}{52}$ is$\frac3{13}$
Factors of $52$ are $1, 2, 4, 13, 26$ and $52.$
$\therefore$ Common factors of $12$ and $52$ are $1, 2$ and $4.$
Highest of these common factors is $4.$
$\therefore H.C.F.$ of $12$ and $52$ is $4.$
Now,$\frac{12}{52}=\frac{12\div4}{52\div4}=\;\frac3{13}$
Hence, the simplest form of $\frac{12}{52}$ is$\frac3{13}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Draw $\angle POQ$ of measure $75^\circ $ and find its line of symmetry.
→In a village six fruit merchants sold the number of fruit baskets in a particular season:
Observe this pictograph and answer the question: How many fruit baskets were sold by Anwar?
→| Number of fruit merchants | Number of fruit baskets  $- 100$ Fruit baskets |
| Rahim |  |
| Lakhanpal |  |
| Anwar |  |
| Martin |  |
| Ranjit Singh |  |
| Joseph |  |
Give the correct matching of the statements of Column $A$ and Column $B.$
→|
No.
|
Column A
|
|
Column B
|
|
$i$
|
Points are collinear.
|
$a.$
|
May be parallel or intersecting.
|
|
$ii$
|
Line is completely known.
|
$b.$
|
Are undefined terms in geometry.
|
|
$iii$
|
Two lines in a plane.
|
$c.$
|
If they lie on the same line.
|
|
$iv$
|
Relations between points and lines.
|
$d.$
|
Can pall through a point.
|
|
$v$
|
Three non-collinear points.
|
$e.$
|
Determine a plane.
|
|
$vi$
|
A plane extends.
|
$f.$
|
Are called incidence porperties.
|
|
$vii$
|
Indefinite number of lines.
|
$g.$
|
It two points are givne.
|
|
$viii$
|
Point, line and plane are.
|
$h.$
|
Indefinitely in all directions.
|
Nazima gave $2\frac34$ litres out of the $5\frac12$ litres of juice she purchased to her friends. How many litres of juice is left with her$?$
→A rectangular paper chit of dimension 6 cm × 4 cm is cut as shown into two equal pieces. These two pieces are joined in different ways.
For example, the arrangement a. has a perimeter of 28 cm.
Find out the length of the boundary (i.e., the perimeter) of each of the other arrangements below.
For example, the arrangement a. has a perimeter of 28 cm.
Find out the length of the boundary (i.e., the perimeter) of each of the other arrangements below.
Match the following columns on whole numbers:
|
S.No.
|
Column A
|
S.No.
|
Column B
|
|
$(a)$
|
$137 + 63 = 63 + 137$
|
$(i)$
|
Associativity of multiplication
|
|
$(b)$
|
$(16 \times 25)$ is a number
|
$(ii)$
|
Commutativity of multiplication
|
|
$(c)$
|
$365 \times 18 = 18 \times 365$
|
$(iii)$
|
Distributive law of multiplication over addition.
|
|
$(d)$
|
$(d) (86 \times 14) \times 25 = 86 \times (14 \times 25)$
|
$(iv)$
|
Commutativity of addition
|
|
$(e)$
|
$23 \times (80 + 5) = (23 \times 80) + (23 \times 5)$
|
$(v)$
|
Closure property for multiplication
|
Write the fractions. Are all these fraction equivalent ?
The following data shows the average age of men in various countries in a certain year.
Represent the above information by a bar graph.
→|
Country
|
India
|
Nepal
|
China
|
Pakistan
|
$U.K$
|
$U.S.A$
|
|
Average age (in years)
|
$55$
|
$52$
|
$60$
|
$50$
|
$70$
|
$75$
|
Draw a line segment of length $10\ cm$ and bisect it. Further bisect one of the equal parts and measure its length.
→Use number line and add the integers: $(-1) + (-2) + (-3)$
→