Simplify: \(\dfrac{3}{5} + \dfrac{2}{3}\).
\(\dfrac{19}{15}\)
LCM of 5 and 3 is 15. So 3/5 = 9/15 and 2/3 = 10/15.
3/5 + 2/3 = 9/15 + 10/15 = 19/15.
Hence, the simplified value is 19/15.
Similar Questions
Weight of Manoj is \(\frac{5}{7}\) times of weight of Sanju. By what fraction weight of Sanju is more than the weight of Manoj?
Simplify: \(\left(\dfrac{7}{8} \div \dfrac{7}{16}\right)\).
Arrange 0.53, 2/25, 7/150 and 16/75 in ascending order:
A milk container is \(\frac{3}{5}\) full. When 20 litres of milk is taken out from it, it becomes \(\frac{7}{12}\) full. What is the capacity of the container?
Ravi travels from one place to another first by bus, then by rickshaw and finally on foot. He covers 7/9 of the distance by bus and 2/15 of the total distance on foot. What fraction of the distance did Ravi travel by rickshaw?
At the start of a journey, Aritra's car fuel tank had \(18\frac{2}{7}\) litres of petrol. At the end of the journey, only \(6\frac{6}{7}\) litres remained. What fraction of the initial petrol was consumed during the journey?
The reciprocal of \((\frac{3}{10} + \frac{8}{15})\) is:
If a steel rod of length \(40\frac{2}{5}\) is cut to obtain a rod of length \(20\frac{4}{15}\), then the remaining length of the rod is:
A famous book 'Play with Graphs' has 465 pages. If \(\frac{4}{5}\) of its pages contain diagrams and \(\frac{2}{3}\) of the remaining pages contain original text, find the number of pages that contain original text.
After taking out \(\frac{1}{5}\) of the money present in a purse, \(\frac{1}{12}\) of the remaining money is ₹ 7.40. How much money was initially in the purse?
Important Questions from Fractions
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
Number 0.232323 can be written in rational form as:
Solve: \(\frac{1}{2}\) [{-2(2 + 3)*20}/2]
Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
Among the fractions \(\frac{7}{12}\) , \(\frac{8}{15}\) , \(\frac{17}{24}\) and \(\frac{13}{18}\) , which is the smallest?
