Fundamental Law of Fractions

Q.

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to ${\frac{2}{3}}^{rd}$ of the circle. If the unshaded region corresponds to ${\frac{a}{3}}^{rd}$ of the circle. Then, the value of a is ___.

1. 1

2. 2

3. 3

4. 4

Q.

If $\frac{a}{b}$ = $\frac{16}{3}$

then find the value of $\frac{a+b}{a-b}$

1. $\frac{9}{13}$

2. $\frac{19}{13}$

3. $\frac{13}{19}$

4. $\frac{16}{13}$

Q.

If A is a fraction such that A < 1, then A is a proper fraction.

1. True

2. False

Q.

Represent 0.585585….. In a rational form. Reverse the digits of the obtained fraction. Is is still recurring? [ 3 MARKS]

Q.

Find out the unit fraction of the following

$\frac{1}{5}$

Q.

Fill in the blanks:

$\frac{4}{7}+\frac{3}{5}=\_\_\_$

Q.

The figure below shows a circle divided into 3 equal parts. The shaded region corresponds to $(\frac{2}{3}{)}^{rd}$ of the circle. If the unshaded region corresponds to $(\frac{a}{3}{)}^{rd}$ of the circle. Then, the value of a is _____.

___

Q.

A fraction is defined as:

1. $\frac{\text{Number of parts that are considered}}{\text{No. of parts into which the whole is divided}}$

2. Always a whole part

3. $\frac{\text{No. of parts into which the whole is divided}}{\text{Number of parts that are considered}}$

4. Any of the above

Q.

Fill in the blanks:

$\frac{5}{18}+\frac{7}{12}=\_\_\_$

Q.

What is the fraction used to represent the orange colour parts?
Assume: In the given figures, triangle and squares have equal area.

1. $\frac{2}{5}$ + $\frac{3}{5}$

2. $\frac{3}{5}$ + $\frac{3}{5}$

3. $\frac{2}{5}$ + $\frac{1}{5}$

4. $\frac{3}{5}$ + $\frac{1}{5}$

Q.

Fill in the blanks:

$\frac{10}{13}+\frac{1}{2}=\_\_\_$

Q.

Fill in the blanks:

$\frac{1}{4}+\frac{1}{5}+\frac{1}{2}=\_\_\_$

Q.

Fill in the blanks:

$\frac{8}{21}+\frac{5}{7}=\_\_\_$

Q.

Fill in the blanks:

$\frac{2}{5}+\frac{3}{4}=\_\_\_$

Q.

Fill in the blanks:

$\frac{8}{15}+\frac{2}{5}=\_\_\_$

Q.

Fill in the blanks:

$\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\_\_\_$

Q.

Fill in the blanks:

$\frac{2}{3}+\frac{3}{4}+\frac{4}{5}=\_\_\_$

Q.

What is the fraction represented by the shaded region?

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

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

3. $\frac{1}{8}$

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