In mathematics, total number of whole number and proper fraction is called mixed fraction. This mixed fraction does not use any operator symbol and do not show any visible operator like as +. Mixed number form is,
Remainder
Quotient --------------
Divisor
Example of mixed fraction number is, '6+8/9' = '6 8/9' .
Decimals:
In mathematics ten as it base is called decimal number system. The numbers using the base-10 numeral system is specified as decimal notation. A dot with a decimal number, like to present in 68.574.
Example Problems for Mixed Numbers:
1. Convert mixed fraction to decimals: '7 3/7'
Solution:
Given value is, '7 3/7'
First we convert mixed fraction number to fraction number,
= 7 3/7
Multiply denominator with quotient, and then add that value with numerator.
= (49 + 3) / 7
= '51/7'
Now, convert fraction numbers into a decimal numbers.
Now find, that 51/7 is the same as 51 divided by 7.
So we will write the 51 as 51.0, as a replacement for (a 51 with 1 zero after the decimal point).
Now, we just find the fraction: divide 51.0 by 7.
= 51.0/7
= 7.285
51/7 written as a decimal place is 7.285.
2. Convert mixed fraction to decimals: '2 7/6'
Solution:
Given value is, '2 7/6'
First we convert mixed fraction number to fraction number,
= 2 7/6
Multiply denominator with quotient, and then add that value with numerator.
= (12 + 7) / 6
= '19/6'
Now, convert fraction numbers into a decimal numbers.
Now find, that 19/6 is the same as 19 divided by 6.
So we will write the 19 as 19.0, as a replacement for (a 19 with 1 zero after the decimal point).
Now, we just find the fraction: divide 19.0 by 6.
= 19.0/6
= 3.166
19/6 written as a decimal place is 3.166.
Example Problems for Decimals Numbers:
3. Add the given two decimal numbers, 1.222 + 1.547.
Solution:
Given value is 1.222 + 1.547,
First add the right hand side values and left hand side values separately from dot,
And get the form like this, = (1 + 1) + (.222 + .547)
= (2) + (.769)
Then we get solution is,
= 2.769
The decimal number wording places is (2.769) 2 ones, 7 tenths, 6 hundredths and 9 thousandths.
4. Add the given two decimal numbers, 2.222 + 3.245.
Solution:
Given value is 2.222 + 3.245,
First add the right hand side values and left hand side values separately from dot,
And get the form like this, = (2 + 3) + (.222 + .245)
= (5) + (.467)
Then we get solution is,
= 5.467
The decimal number wording places is (5.467) 5 ones, 4 tenths, 6 hundredths and 7 thousandths.
