Question
Add the following rational numbers.
$2\ \text{and}\ \frac{-5}{4}$
$2\ \text{and}\ \frac{-5}{4}$
✓
Answer
We can write $2\ \text{as}\ \frac{2}{1}$
The denominators of the given rational number are 1 and 4.
LCM of 1 and 4 is 4
Now,
$\frac{2}{1}=\frac{2\times4}{1\times4}$
$=\frac{8}{4}$
and $\frac{5}{-4}=\frac{-5\times1}{4\times1}$
$=\frac{-5}{4}$
$\therefore2+\frac{(-5)}{4}$
$=\frac{8}{4}+\frac{(-5)}{4}$
$=\frac{8+(-5)}{4}$
$=\frac{8-5}{4}$
$=\frac{3}{4}$
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
Multiply:
$-\frac{15}{11}\ \text{by}\ 7$
→$-\frac{15}{11}\ \text{by}\ 7$
Fill in the blanks.
$x^2-18 x+81$= ( ____ )
→$x^2-18 x+81$= ( ____ )
Express the following as decimal fractions:
27%
27%
Fill in the blank:
The product of a rational number and its reciprocal is ___________.
The product of a rational number and its reciprocal is ___________.
Name the polyhedron that can be made by folding net:
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
the ace of spades.
the ace of spades.
Name the property of multiplication illustrated of the following statement:
$\frac{-7}{5}\times0=0$
→$\frac{-7}{5}\times0=0$
Test the divisibility of the following numers by 2:
79532
79532
Draw two right angled triangles such that a side and the hypotenuse of one is congruent with the corresponding parts of the other. Copy one triangle on tracing paper and place it over the other. What do you notice ?
Express the following rational numbers with a positive exponent:
$\Big(\frac{5}{4}\Big )^{-3}$
→$\Big(\frac{5}{4}\Big )^{-3}$