Converting fractions or mixed numbers into decimal will be very simple, if we find the denominators 2 or multiple of 2.
By multiplying 2 or multiple of 2 by the following, we can make the denominators as 10^{n}
2 x 50 = 100
4 x 25 = 100
8 x 125 = 1000
16 x 625 = 1000
Change the following fractions and mixed numbers to decimal numbers. Round answers to the nearest thousandth, if necessary.
Problem 1 :
1/8
Solution :
In the given fraction, the numerator and denominator is multiplied by 125.
The denominator will come 10^{n}.
1/8 = 0.125
Problem 2 :
2/7
Solution :
In the given fraction, the denominator is 7.
We cannot make 7 as 10^{n}.
So, we have use long division only.
We can convert the fraction into the decimal.
2/7 = 0.2857
2/7 = 0.286
Problem 3 :
Solution :
In the given mixed number, the denominator is 6.
We cannot make 6 as 10^{n}.
So, we have use long division only.
We can convert the fraction into the decimal.
1/6 = 0.1666
1/6 = 0.167
2 1/6 = 2.167
Problem 4 :
3/16
Solution :
In the given fraction, the numerator and denominator is multiplied by 625.
The denominator will come 10^{n}.
3/16 = 0.188
Problem 5 :
3/4
Solution :`
In the given fraction, the numerator and denominator is multiplied by 125.
The denominator will come 10^{n}.
Problem 6 :
5/10
Solution :`
In the given fraction, the denominator is 10.
So, we have
5/10 = 0.5
Problem 7 :
Solution :`
In the given mixed number, the numerator and denominator is multiplied by 125.
The denominator will come 10^{n}.
Problem 8 :
Solution :
In the given mixed number, the denominator is 15.
We cannot make 15 as 10^{n}.
So, we have use long division only.
We can convert the fraction into the decimal.
10/15 = 0.6666
10/15 = 0.667
8 10/15 = 8.667
Problem 9 :
5/8
Solution :
In the given fraction, the numerator and denominator is multiplied by 125.
The denominator will come 10^{n}.
5/8 = 0.625
Problem 10 :
2/3
Solution :
In the given fraction, the denominator is 3.
We cannot make 3 as 10^{n}.
So, we have use long division only.
We can convert the fraction into the decimal.
2/3 = 0.6666
2/3 = 0.667
Problem 11 :
Solution :`
In the given mixed number, the numerator and denominator is multiplied by 625.
The denominator will come 10^{n}.
5 1/16 = 5.063
Problem 12 :
Solution :`
In the given mixed number, the numerator and denominator is multiplied by 2.
The denominator will come 10^{n}.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM