Simplify:53 4 -45 12 +31 6 - Vidyadip

Question

Simplify:$5\frac{3}{4}-4\frac{5}{12}+3\frac{1}{6}$

✓

Answer

We have:$5\frac{3}{4}-4\frac{5}{12}+3\frac{1}{6}$
$\frac{23}{4}-\frac{53}{12}+\frac{19}{6}$
$\begin{array}{c|c}2&4,12,6\\\hline2&2,6,3\\\hline3&1,2,3\\\hline2&1,2,1\\\hline&1,1,1\end{array}$
L.C.M. of 4, 12 and 6 = (2 × 2 × 3) = 12 $=\frac{(69-53+38)}{12}$ $\Big(\frac{12}{4}=3,3\times23=69\Big)$ $\Big(\frac{12}{12}=1,1\times53=53\Big)$ and $\Big(\frac{12}{6}=2,2\times19=38\Big)$$=\frac{(107-53)}{12}$
$=\frac{54}{12}$
$=\frac{9}{2}$
$=4\frac{1}{2}$

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 Mark Question" from Fractions→Fractions — all question types→Maths STD 6 question papers→Maharashtra Board STD 6 question papers→Maharashtra Board question paper generator→

Similar questions

In the following numbers, replace * by the smallest number to make it divisible by 11:
467*91

Find the cost of fencing a rectangular park of length 175m and breadth 125m at the rate of Rs. 12 per meter.

19625 trees have been equally planted in 157 rows. Find the number of trees in each row.

Rohit earns Rs. 15300 and saves Rs. 1224 per month. Find the ratio of:
His income and expenditure.

Draw a parallelogram ABCD in which AB = 6.5cm, AD = 4.8cm and $\angle\text{BAD}=70^{\circ.}$ Measure its diagonals.

The length and the breadth of a rectangular field are in the ratio 5 : 3. If its perimeter is 128m, find the dimensions of the field.

Solve the following equation and verify the answer:
3x - 5 = 13

Savita bought $\frac{2}{5}\text{m}$ of ribbon and kavita $\frac{3}{4}\text{m}$ of ribbon. What was the total length of the ribbon they bought?

Evaluate the following:
36.36 - 28.4237 - 9.78 + 7.7

Divide Rs. 3450 among A, B and C in the ratio 3 : 5 : 7.