Question
Reduce the following rational numbers in its lowest form: $\frac{91}{-364}$
✓
Answer
$\frac{91}{-364}$ can be written as $=\frac{91+91}{-364+91}$
$[$dividing numerator and denominator by $HCF$ of $91$ and $364$ i.e. $91]$
$=\frac{-91\times\frac{1}{91}}{-364\times\frac{1}{91}}$
$\Big[\because\text{Reciprocal of }91=\frac{1}{91}\Big]$
$=\frac{1}{4},$ which is the lowest form.
$[$dividing numerator and denominator by $HCF$ of $91$ and $364$ i.e. $91]$
$=\frac{-91\times\frac{1}{91}}{-364\times\frac{1}{91}}$
$\Big[\because\text{Reciprocal of }91=\frac{1}{91}\Big]$
$=\frac{1}{4},$ which is the lowest form.
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
Simplify: $(-26) \times 72 + (-26) \times 28$
→Tick the correct statement(s). The LCM of two different prime numbers (m, n) can be:
(a) Less than both numbers
(b) In between the two numbers
(c) Greater than both numbers
(d) Less than m × n
(e) Greater than m × n
(a) Less than both numbers
(b) In between the two numbers
(c) Greater than both numbers
(d) Less than m × n
(e) Greater than m × n
There are four containers that are arranged in the ascending order of their heights. If the height of the smallest container given in the figure is expressed as $\frac{7}{25}\text{x}=10.5\text{cm} $ Find the height of the largest container. 
→Which of the following rational numbers are positive:
(i) $\frac{-8}{7}$
(ii) $\frac{9}{8}$
(iii) $\frac{-19}{-13}$
(iv) $\frac{-21}{13}$
→(i) $\frac{-8}{7}$
(ii) $\frac{9}{8}$
(iii) $\frac{-19}{-13}$
(iv) $\frac{-21}{13}$
Find the following product: $(9 x+5 y)(4 x+3 y)$
→Add the following rational numbers: $\frac{3}{-8}\text{ and }\frac{1}{8}$
→In Figure, determine the value of $x$.
→Draw the net of triangular pyramid with base as equilateral triangle of side 3 cm and slant edge 5 cm .
$D$ is a point on side $BC$ of a $\triangle \text{CAD}$ is joined. Name all the triangles that you can observe in the figure. How many are they?
→A dog is chasing a rabbit that has a head start of 150 feet. It jumps 9 feet every time the rabbit jumps 7 feet. In how many leaps does the dog catch up with the rabbit?