Question
From the given pairs, find which ratio is larger:
(3 : 7) or (4 : 9)
(3 : 7) or (4 : 9)
✓
Answer
(3 : 7) or (4 : 9)
$\Rightarrow\frac{3}{7},\frac{4}{9}$
$\text{LCM of }7,9=63$
$\therefore\frac{3}{7}=\frac{3\times9}{7\times9}=\frac{27}{63}$
$\frac{4}{9}=\frac{4\times7}{9\times7}=\frac{28}{63}$
We see that $\frac{28}{63}>\frac{27}{63}\text{ or }\frac{4}{9}>\frac{3}{7}$
$\therefore4:9$ is greater ratio.
$\Rightarrow\frac{3}{7},\frac{4}{9}$
$\text{LCM of }7,9=63$
$\therefore\frac{3}{7}=\frac{3\times9}{7\times9}=\frac{27}{63}$
$\frac{4}{9}=\frac{4\times7}{9\times7}=\frac{28}{63}$
We see that $\frac{28}{63}>\frac{27}{63}\text{ or }\frac{4}{9}>\frac{3}{7}$
$\therefore4:9$ is greater ratio.
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
Show that the following fractions is in the simplest form:
$\frac{25}{36}$
→$\frac{25}{36}$
Find the area of a rectangle whose length is $36\ cm$ and breadth $15\ cm.$
→What should be added to $9\frac{2}{3}$ to get 19?
→Find the greatest number which divides 615 and 963, leaving the remainder 6 in each case.
Reduce each of the following fractions to its lowest term (simplest form):
$\frac{40}{72}$
→$\frac{40}{72}$
The length and the breadth of a rectangular park are in the ratio $5 : 3$ and its perimeter is $128\ m.$ Find the area of the park.
→The number of fans sold by a shopkeeper during 6 months are given below:
Taking the scale = 10 fans sold,
Draw a pictograph.
| Month | March | April | May | June | July | August |
| No. of fans sold | 30 | 40 | 60 | 50 | 20 | 30 |
Draw a pictograph.
Aarushi was given $\frac{5}{7}$ of a basket of oranges. What fraction of oranges was left in the basket.
→Find the greatest number that can divide 101 and 115 leaving remainders 5 and 7 respectively.
The weight of an empty gas cylinder is $16\frac{4}{5}\text{kg}$ and it contains $14\frac{2}{3}\text{kg}$ of gas. What is the weight of the cylinder filled with gas?
→