Find the simplified value of the given expression. \( 4 \frac{4}{5} \div \frac{3}{5}\) of \(5+\frac{4}{5} \times \frac{3}{10}-\frac{1}{5} \)
\( 1 \frac{16}{25} \)
Given expression:
4 4/5 ÷ 3/5 of 5 + 4/5 × 3/10 – 1/5
Step 1: Convert the mixed number to improper fraction
4 4/5 = 24/5
Step 2: Simplify "of" part
3/5 of 5 = (3/5) × 5 = 3
Now:
24/5 ÷ 3 = 24/5 × 1/3 = 24/15 = 8/5
Step 3: Multiply the next terms
4/5 × 3/10 = 12/50 = 6/25
Step 4: Put it all together
8/5 + 6/25 – 1/5
Convert all to have denominator 25:
8/5 = 40/25
1/5 = 5/25
So:
40/25 + 6/25 – 5/25 = (40 + 6 – 5)/25 = 41/25
Final Answer:
41/25 or 1 16/25
Similar Questions
Which two signs should be interchanged to make the given equation correct?
588 ÷ 28 × 32 + 72 – 160 = 760
Which two signs should be interchanged to make the given equation correct?
294 + 14 × 4 ÷ 16 - 67 = 33
If '+' means 'subtraction', '-' means 'multiplication', '÷' means 'addition' and '×' means 'division', then what is the value of the following expression?
11 - 14 + 9 × 3 ÷ 104
Simplify the following expression.
(2 × 7 - 5 + 9 ÷ 3) ÷ (4 + 2)2 × 2
Simplify the given expression.
18 ÷ 3 of 2 × 5 + 72 ÷ 18 of 2 × 3 - 4 ÷ 8 × 2
Simplify
2.5 × [144 ÷ 198 × {121 × 81 ÷ (11 × 9)}]
18 ÷ {(6 of 2 - 4)} × 5(6 - 3) = _______.
Solve the following expression.
50 - [20 + (30 - (25 - 5)]
Solve the following.
22 − [9 −{6 − (10 − 4 + 3)}] ÷ 2 × 3
Select the correct combination of mathematical signs to sequentially replace the @ signs and to balance the given equation.
72 @ 9 @3 @ 6 @ 6 @ 6 @ 6
Important Questions from Bodmas Rule
The value of 30 ÷ 6 × 5 of (2 + 3) - 12(3 × 2) is equal to:
solve the following:
523 + 523 × 523 ÷ 523
The value of 96 - 4 of (18 - 13) + 4 × 7 is:
Find the value of 45 - 3 × (4 of 6 + 12 ÷ 3 × 6 - 4 × 5) + 6.
What is the value of
5 ÷ 10 of 10 × 4 + 4 ÷ 4 of 4 × 10 + (10 - 4) ÷ 16 × 4?
