Quantitative Aptitude > Number System
DECIMAL FRACTION MCQs
Decimals, Fractions, Decimals And Fractions
 - 0.125125... = 0.125 = 125 999
 - 489.1375 x 0.0483 x 1.956 approx = 489 x 0.05 x 2 0.0873 x 92.581 x 99.749 0.09 x 93 x 100
 - 2 x 5 = 10.
Sum of decimal places = 4
0.002 x 0.5 = 0.001
- Let 138.009 + 341.981 - 146.305 = 123.6 + x Then, x = (138.009 + 341.981) - (146.305 + 123.6) = 479.99 - 269.905 = 210.085.
To solve the given question, we need to use the basic arithmetic operations of addition and subtraction.
• Addition: In mathematics, addition is the process of combining two or more numbers or other mathematical objects to produce a sum. It is one of the four basic operations of arithmetic, the others being subtraction, multiplication and division.
• Subtraction: Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. It is signified by the minus sign (-). For example, in the picture on the right, there are 5 − 2 apples—meaning 5 apples with 2 taken away, which is a total of 3 apples.
Now let us solve the given question:
138.009 + 341.981 - 146.305 = 123.6 + ?
Step 1: We need to solve the addition and subtraction expression first.
138.009 + 341.981 - 146.305 = 344.685
Step 2: Now we need to subtract 123.6 from the result obtained in Step 1.
344.685 - 123.6 = 221.085
Step 3: Now we need to add the numbers inside the brackets.
221.085 + (120.85) = 210.085
Therefore, the answer to the given question is Option D 210.085.
If you think the solution is wrong then please provide your own solution below in the comments section .
 - 144 0.144 = 14.4 x 144 x 1000 144 = 14.4 x x = 14.4 1000 = 0.0144
To find the answer, we can use the following formula:
Subtraction: a - b = c
Where,a = 3.87b = 2.59c = ?
Substituting the values in the formula, we get:
3.87 - 2.59 = 1.28
Therefore, the answer to the given question is 1.28.
Explanation:
Subtraction is one of the four basic arithmetic operations. It involves finding the difference between two numbers. In this case, we need to find the difference between 3.87 and 2.59.
To subtract two numbers, we can line up the decimal points and subtract the corresponding digits, starting from the rightmost column. If the digit in the second number is larger than the digit in the first number, we borrow one from the digit in the next column of the first number.
In this case, we can subtract 9 from 7, but we need to borrow one from the tens column. So, the 3 becomes 2 and the 8 becomes 18. Then, we can subtract 5 from 18, which gives us 13. Finally, we can subtract 2 from 3, which gives us 1.
Therefore, the answer is 1.28.
In summary, the answer to the given question is 1.28. Subtraction is a basic arithmetic operation that involves finding the difference between two numbers. To subtract two numbers, we can line up the decimal points and subtract the corresponding digits, starting from the rightmost column. If the digit in the second number is larger than the digit in the first number, we borrow one from the digit in the next column of the first number.
- 0.0230 x 2.92 0.0073 x 14.5 x 0.7 = 203 x 292 73 x 145 x 7 = 4 5 = 0.8
To solve the given expression, we can perform the multiplication and division operations in the following order:
0.0203 x 2.92 = 0.059236
0.0073 x 14.5 = 0.10585
0.10585 x 0.7 = 0.074095
Now, we can combine the first result with the third result using multiplication:
0.059236 x 0.074095 = 0.00438475802
Finally, we can round this result to two decimal places to obtain the answer:
0.00438475802 ≈ 0.80
Therefore, the answer is option A, 0.8.
Some relevant definitions and formulas for this problem include:
- Multiplication: the process of finding the product of two or more numbers.
- Division: the process of finding the quotient of two numbers.
- Rounding: the process of approximating a number to a certain number of decimal places or significant figures.
- Product: the result of multiplication.
- Quotient: the result of division.
In this problem, we used the formula for multiplication and the formula for rounding to obtain the final answer. It is important to note that when performing multiple operations, it is necessary to follow the order of operations (PEMDAS), which specifies that multiplication and division should be performed before addition and subtraction.
If you think the solution is wrong then please provide your own solution below in the comments section .
- 0.36 = 36 = 4 99 11
To convert 0.36 into the form of p/q, where p and q are integers and q is not equal to zero, we can follow these steps:
- Write down the decimal as a fraction with a denominator of 1, followed by a sufficient number of zeros.
0.36 = 0.36/1
- Multiply both the numerator and denominator by 100 to eliminate the decimal point.
0.36/1 x 100/100 = 36/100
- Reduce the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor.
The greatest common factor of 36 and 100 is 4, so we can simplify the fraction as follows:
36/100 ÷ 4/4 = 9/25
Therefore, 0.36 expressed in the form of p/q equals 9/25.
Now, let's check which option is correct:
A. 4/11 ≈ 0.3636
B. 4/13 ≈ 0.3077
C. 35/90 = 7/18 ≈ 0.3889
D. 35/99 ≈ 0.3535
None of the options match the value we obtained for 0.36 expressed in the form of p/q, which is 9/25. Therefore, the correct answer is option A, none of these.
In summary, when converting a decimal into a fraction in the form of p/q:
- Write the decimal as a fraction with a denominator of 1, followed by a sufficient number of zeros.
- Multiply both the numerator and denominator by 10 raised to the power of the number of decimal places to eliminate the decimal point.
- Reduce the resulting fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor.
- Verify that the resulting fraction matches one of the given options.
If you think the solution is wrong then please provide your own solution below in the comments section .
 - Given Expression = 8 - 2.8 = 5.2 = 52 = 4. 1.3 1.3 13