Types of Fractions

Q.

Define a file and a folder.

Q.

How to convert unlike fractions into like fractions ?

Q.

Question 47

State whether the given statement is True or False.

Every natural number is a rational number, but every rational number need not be a natural number.

Q. What fraction of the circle is shaded?

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{1}{3}$
4. $\frac{3}{4}$

Q.

The simplest form of $1.5:2.5$ is

Q.

The reciprocal of an improper fraction is an improper fraction. Say true or false.

1. True
2. False

Q. What is the Multiplicative inverse of $\frac{1}{7}$

Q.

In an improper fraction, the numerator is always greater than the denominator.

1. In an improper fraction, the numerator is less than denominator and numerator is greater than 0.

2. In an improper fraction, the numerator is always greater than the denominator.

Q.

To represent 15/7 on a number line, divide the distance between 2 and 3 into

1. 8 equal parts

2. 10 equal parts

3. 7 equal parts

4. 15 equal parts

Q.

The points P, Q, R, S, T, U, A and B on the number line are such that,

TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Q.

Convert $\frac{6}{12}$, $\frac{1}{4}$ and $\frac{6}{3}$ into like fractions.

1. $\frac{5}{12}$, $\frac{3}{12}$, $\frac{24}{12}$

2. $\frac{6}{12}$, $\frac{2}{12}$, $\frac{24}{12}$

3. $\frac{6}{12}$, $\frac{3}{12}$, $\frac{20}{12}$

4. $\frac{6}{12}$, $\frac{3}{12}$, $\frac{24}{12}$

Q.

What should be subtracted from $-\frac{4}{9}$ to get $\frac{5}{12}$?

Q.

Express the following numbers in standard form :

$4830000$

Q.

Represent the following numbers on a number line: [2 MARKS]
1. 1.5
2. 2.35

Q.

Find the value of $a$ if,

$3\frac{a}{4}=\frac{15}{4}$.

1. $3$
2. $4$
3. $1$
4. $5$

Q.

If $\frac{x}{y}$ is the additive inverse of $\frac{c}{d}$, then, $\frac{x}{y}-\frac{c}{d}=0$. State whether the statement is true (T) or false (F)

1. True
2. False

Q. Give the additive inverse of the reciprocal of $-\frac{2}{5}$. [2 MARKS]

Q.

Multiply and express as a mixed fraction: $3\frac{2}{5}\times 8$

Q. Find the multiplicative inverse of the following.
(i) $-13$ (ii) $\frac{-13}{19}$ (iii) $\frac{1}{5}$

Q. How should we define a vulgar fraction ?

Q.

Question 7(d) :

Find answers to the following. Write and indicate how you solved them:

Is $\frac{1}{15}$ equal to $\frac{4}{30}$ ?

Q.

Jaidev takes 2$\frac{1}{5}$ minutes to walk across the school ground. Rahul takes $\frac{7}{4}$ minutes to do same. Who takes less time and by what fraction?

Q.

The product of two numbers is $-60$. If one of them is $-5$, find the other number.

Q. Vera is using her phone. Its battery life is down to $\frac{2}{5}$, and it drains $\frac{1}{9}$ every hour. How many hours will the battery last?

1. $\frac{8}{5}$ hours
2. $\frac{28}{5}$ hours
3. $\frac{18}{5}$ hours
4. $\frac{19}{5}$ hours

Q.

Question 9 :

Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

Q.

If a car takes $24minutes$ to cover a $15km$ length of the road, how long will it take to travel $100km?$

Q. Convert the following mixed fraction into improper fraction.
$10\frac{2}{9}$.

Q.

Identify proper, improper and mixed fractions.

$\frac{12}{12}$

Q.

Give a proper fraction whose denominator is $4$ more than the numerator. How many are they?

Q. Multiply and expression as a mixed fraction.
$4\times 6\frac{1}{3}$