Find the value of 31 1 6 × 31 5 6 by using Ekaadhiken Purven Sutra.

To find the value of 31 1 6 × 31 5 6 by using Ekaadhiken Purven Sutra: Now, 31 1 6 × 31 5 6 = 31 × 31 + 1 / 1 6 × 5 6 ⇒ 31 1 6 × 31 5 6 = 31 × 32 / 5 36 ⇒ 31 1 6 × 31 5 6 = 992 5 36 .

Draw number lines and locate the points on them: 1 2 , 1 4 , 3 4 , 4 4

Given, 1 2 , 1 4 , 3 4 , 4 4 Where, 1 2 = 2 4 Re-arranging the given fraction, 1 4 , 2 4 , 3 4 , 4 4 All given numbers are proper fraction, therefore these points lies between 0 and 1 . The distance between 0 and 1 is divided equally into four parts. Therefore, the given points are located on the number line as shown in the above figure.

Write the natural numbers from 2 to 12 . What fraction of them are prime numbers?

The natural numbers from 2 to 12 are as follows: 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9,10,11,12 . The total natural numbers from 2 to 12 is 11 . Out of these, the prime numbers are as follows: 2 , 3 , 5 , 7,11 The total prime numbers from 2 to 12 is 5 . Now, the required fraction = Count of prime numbers in the given range Count of natural numbers in the given range = 5 11 Hence, the fraction for the above prime numbers is 5 11 .

MEDIUM

Earn 100

Represent the following fraction on the number line.

$4 \frac{3}{5}$

Important Questions on Fractions

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

Which one of the following fractions will have minimum change in its value if

3

is added to both the numerator and the denominator of all the fractions?

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

A man covers

\frac{5}{12}

of a total journey by train,

\frac{7}{18}

of the journey by bus and the remaining

7 km

on foot. His total journey is:

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

A school group charters three identical buses and occupies

\frac{4}{5}

of the seats. After

\frac{1}{4}

of the passengers leave, the remaining passengers use only two of the buses. The fraction of the seats on the two buses that are now occupied is

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by

\frac{175}{4} %

. What was the value of the fraction?

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

In an office,

\frac{5}{8}

of the total number of employees are males and the rest are females.

\frac{2}{5}

of the number of males are non-technical workers while

\frac{2}{3}

of the number of females are technical workers. What fraction of the total number of employees are technical workers?

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

Find the value of

31 \frac{1}{6} \times 31 \frac{5}{6}

by using Ekaadhiken Purven Sutra.

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

Three numbers are in the ratio

\frac{3}{4} : \frac{5}{8} : \frac{7}{12}

. If the difference between the greatest and the smallest number is

48

, then the value of the greater number will be:

MEDIUM

Mathematics>Arithmetic>Fractions>Introduction to Fractions

$\frac{(a - b)^{3} + (b - c)^{3} + (c - a)^{3}}{3 (a - b) (b - c) (c - a)} = ?$

What is the value of above expression?

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

The simplest form of $\frac{273}{195}$ is…..?

EASY

Mathematics>Arithmetic>Fractions>Introduction to Fractions

A fraction is such that the numerator is five less than the denominator. Also four times the numerator is one more than the denominator. The fraction is:

MEDIUM

Mathematics>Arithmetic>Fractions>Introduction to Fractions

A cake is distributed among 5 friends. Four of them get $\frac{1}{8}, \frac{1}{6}, \frac{5}{12}$ and $\frac{1}{12}$ , and as shares. What part of the cake will be got by the fifth friend?