Find the sum: 31 3 +41 4 +61 6 - Vidyadip

Question

Find the sum:
$3\frac{1}{3}+4\frac{1}{4}+6\frac{1}{6}$

✓

Answer

We have,
$L.C.M$. of $3, 4$ and $6 = (2 \times 2 \times 3) = 12$
$\begin{array}{c|c}3&3,4,6\\\hline2&1,4,2\\\hline2&1,2,1\\\hline&1,1,1\end{array}$
Therefore,
$3\frac{1}{3}+4\frac{1}{4}+6\frac{1}{6}$
$=\frac{10}{3}+\frac{17}{4}+\frac{37}{6}$
$=\frac{(40+51+74)}{12}$
$\Big(\frac{12}{3}=4,4\times10=40\Big)$
$\Big(\frac{12}{4}=3,3\times17=51\Big)$
and $\Big(\frac{12}{6}=2,2\times37=74\Big)$
$=\frac{165}{12}$
$=\frac{55}{4}$
$=13\frac{3}{4}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Fractions→Fractions — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

Suppose you start with 0 rupees in your bank account, and then you have debits of ₹1, 2, 4, 8, 16, 32, 64, and 128, and then a single credit of ₹ 256. What is your bank account balance now?

Consider these statements:
(a) Only the last two digits matter when deciding if a given number is divisible by 4.
(b) If the number formed by the last two digits is divisible by 4, then the original number is divisible by 4.
(c) If the original number is divisible by 4, then the number formed by the last two digits is divisible by 4.
Do you agree? Why or why not?

Of the $72$ persons working in an office, $28$ are men and the remaining are women. Find the ratio of the number of:
$i.\ $Men to that of women.
$ii.\ $Men to the total number persons.
$iii.\ $Persons to that of women.

Using each of the digits $1, 2, 3$ and $4$ only once, determine the smallest $4$-digit number divisible by $4$.

A rectangle is divided into certain number of equal parts. If $16$ of the parts so formed represent the fraction $\frac14,$ find the number of parts in which the rectangle has been divided.

Write four pairs of integers which are at the same distance from $2$ on the number line.

Write the following ratios in the simplest form: $48$ min : $2$ hours $40$ min.

Using a protractor, draw $\angle B A C$ of measure $45^{\circ}$. Take a point $P$ in the interior of $\angle B A C$. From $P$ draw line segments $P M$ and $P N$ such that $P M \perp A B$ and $P N \perp A C$, Measure $\angle M P N$.

Arrange these fraction words in order of size from the smallest to the biggest in the empty box below: One and a half, three quarters, one and a quarter, half, quarter, two and a half.

If the game is played for the numbers from 1 till 90, find out:
(a) How many times would the children say ‘idli ’ (including the times they say ‘idli- vada’)?
(b) How many times would the children say ‘vada ’ (including the times they say ‘idli-vada’)?
(c) How many times would the children say ‘idli-vada ’?