Fractions are an integral part of mathematics. All basic operations that are performed on integers can also be performed on fractions. Let us know what is 1.5 as a fraction
To convert the above to a fraction, we move the decimal from the number to the number.
To remove the decimal, the number of digits after the decimal point in the number is placed on the same side as the denominator of 10.
Answer is our answer. 3/2 as a fraction of 1.5. As written.
Explanation:
Let’s know from the beginning. Use the steps below to convert a decimal number to a fraction.
Our Step 1: Write the given number as a numerator and put 1 in the denominator just below the decimal point followed by the number of zeros required.
In this case, there is a number 1.5 after the decimal, so we put 10 in the denominator and omit the decimal point. And then 15/10. it will
Our Step 2: Again, this fraction can be further simplified. For example – 15/10 = (15 5)/(10 5) = 3/2
Our final answer is 3/2. Guys, you can calculate the answer on your calculator. Your answer will appear on the calculator, which will be our answer.
1.5 can be written as a fraction 3/2
multiplying decimal fractions
Example. 2.54 × 3.656
Solution:
Rule (a) Count the decimal places in both the numbers
and add them.
2.54 = 2 places
3.656 = 3 places
Note: Always count from the right.
(b). Now take out the decimals from all the numbers and multiply them in a simple way.
Eg:- 254 × 3656 = 928624
(c). Now we will put a decimal after five places from the right in the product obtained.
So 2.54 × 3.656 = 9.28624
Dividing a Decimal Fraction by a Decimal Fraction
Example. 9.36/0.004 = ?
Rules :
(a). Denominator (decimal place) = 3
numerator (decimal place) = 2
(b). Denominator – numerator = 3 – 1 = 2
(c). Solve by the simple method by removing the decimals.
eg: 936/4 = 234
(d). Now put a zero for (+1) at 234 so the result is 2340.
Note: (Decimal place in denominator – decimal place in numerator)
1. If positive, give zero on the number obtained.
Eg:
2.4/0.0006 = ?
Here, 4 – 1 = 3 Then, 24/6 = 4
2.4/0.0006 = 4000
Note:- Three zeros were kept for +3.
2. But if it comes negative, then the same number of digits will be inserted in the first decimal.
Eg:
0.00024/0.6 = ?
Here, 1 – 5 = -4
Then, 24/6 = 4
0.00024/0.6 = 0.0004
Note: For 4, four digits are entered before the decimal.
Example. (3.43 × 0.216 × 25.6)/(0.07 × 0.08 × 12)
Step1. Counting decimals
denominator – numerator = 5 – 6 = -1
Step2. (343 × 216 × 256)/(7 × 8 × 12) = 28224
Step3. (3.43 × 0.216 × 25.6)/
Step3. (3.43 × 0.216 × 25.6)/0.07 × 0.08 × 1.2 = 2822.4
Note: For (-1) one digit first decimal is given.
Example. If 1/36.18 = 0.0276, then what will be the value of 1/0.0003618?
Solution: Here in 1/36.18 the decimal place (denominator – numerator) = 2 – 0 = 2
Then the decimal place in 1/0.0003618
= 7 – 0
= 7
So five more zeros will be put for (+5).
1/0.0003618
= 0.0276 × 100000
= 2760
Example. If 1/36.18 = 0.0276, then find the value of 1/3618?
Solution: Here in 1/36.18 the decimal place (denominator – numerator) = 2 – 0 = 2
and then for 1/3618 = 0 – 2 = -2
(-2) we will put 2 digits first in the result as decimal.
1/3618 = 0.000276
