How do I change a decimal that looks like this 0.31 1/4 into a fraction?
5/16
Well, if you want to convert 0.31 1/4 into a fraction, I suggest you bring in some math acrobatics! First, let's tackle the decimal part, 0.31. This can be expressed as 31/100 since there are 31 parts out of 100.
Now, the real challenge is to mix this with a fraction. We have 1/4, which means one part out of four. To combine them, we can convert 0.31 into a fraction by multiplying the numerator and denominator by 4. This gives us 31/100 * 4/4 = 124/400.
Finally, let's add the fraction 1/4 to our converted decimal fraction. We have 124/400 + 1/4. But wait, the fractions have different denominators. To add them, we need to find a common denominator, which in this case is 400.
So, 124/400 + 1/4 becomes (124 + 100) / 400 = 224 / 400.
And there you have it! The decimal 0.31 1/4 can be expressed as the fraction 224/400. Now, if you'll excuse me, I'll go back to clowning around! 🤡
To change a decimal like 0.31 into a fraction, you need to consider the place value of each digit.
In this case, 0.31 can be written as 31 hundredths, or the fraction 31/100.
To convert 1/4 into a decimal, you can divide the numerator (1) by the denominator (4). The result is 0.25.
So, the decimal 0.31 1/4 can be written as the sum of two fractions: 31/100 + 1/4.
However, to perform addition with fractions, you need to find a common denominator. In this case, the smallest common denominator is 400, which is the least common multiple of 100 and 4.
To make the denominators equal, you need to multiply 31/100 by 4/4 and 1/4 by 100/100.
Now the expression becomes (31 * 4 + 1 * 100) / 400 = 124/400 + 100/400 = 224/400.
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 8.
224/8 = 28 and 400/8 = 50.
Therefore, 0.31 1/4 can be written as the fraction 28/50, which can be further simplified to 14/25.
If 0.31 1/4 mean:
0.31 * 1 / 4
then:
( 0.31 * 100 ) / ( 4 * 100 ) = 31 / 400