Simplify: (24 35 6 7 +5 9 ) 3 4 - Vidyadip

Question

Simplify:
$\left(\frac{24}{35} \div \frac{6}{7}+\frac{5}{9}\right) \times \frac{3}{4}$

✓

Answer

$\left(\frac{24}{35} \div \frac{6}{7}+\frac{5}{9}\right) \times \frac{3}{4} $
$=\left(\frac{24}{35} \times \frac{7}{6}+\frac{5}{9}\right) \times \frac{3}{4}=\left(\frac{4}{5}+\frac{5}{9}\right) \times \frac{3}{4} $
$=\left(\frac{36+25}{45}\right) \times \frac{3}{4} $
$=\frac{61}{45} \times \frac{3}{4}=\frac{61}{60}=1 \frac{1}{60}$

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 sum]" from Fractions→Fractions — all question types→MATHS STD 6 question papers→ICSE Board STD 6 question papers→ICSE Board question paper generator→

Similar questions

Find the H.C.F. of the following number use long division method : 252, 576

15 boxes of the same size contain 1080 pens. How many such boxes will be needed for 1800 pens?

Simplify:
$\left(1 \frac{7}{8} \div 1 \frac{1}{2}\right) \text { of }\left(8 \frac{1}{3} \div 1 \frac{1}{2}\right)$

The cost of 1 litre of milk is ₹ $42 \frac{3}{5}$. Find the cost of $12 \frac{1}{2}$ litres of milk.

The number of cars sold at a showroom during a week are given below :

Day	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday
Number of cars sold	15	6	9	3	18	12

Choose an appropriate scale and draw a pictograph to represent the given data.

If a man spends $70\%$ of his income, what percent does he save?

Solve the following equation : $\frac{y}{3}+7=2$

Simplify : $4 \frac{5}{12}+3 \frac{11}{18}-2 \frac{7}{24}$

Insert the symbol ' $=$ ' or '>' or '<' between the pair of fractions, given below:
$\frac{5}{12} \ldots \frac{8}{33}$

Simplify : $6 \frac{1}{5} \div 3 \frac{1}{10}$ of $2 \frac{1}{2} \div \frac{1}{4}$