Checking my 6th grade daughter's homework but don't know how write these rational numbers in the form a/b...
4.75
6 1/8
6.3
10 1/2
4.75 = 4 3/4 = 19/4
6 1/8 = 49/8
6.3 = 63/10
10 1/2 = 21/2
To write rational numbers in the form a/b, you need to convert any decimal or mixed number into a fraction.
1. 4.75:
To convert the decimal 4.75 into a fraction, you need to consider the decimal place value. Since there are two decimal places, you can write 4.75 as 475/100. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 25 in this case), you get 19/4. So, 4.75 can be written as 19/4 in the form a/b.
2. 6 1/8:
To convert the mixed number 6 1/8 into a fraction, you need to combine the whole number and the fraction part. Multiply the whole number (6) by the denominator of the fraction (8). Then, add the numerator (1) to that product. This gives you 49 as the new numerator. Keep the denominator (8) the same. So, 6 1/8 can be written as the fraction 49/8.
3. 6.3:
To convert the decimal 6.3 into a fraction, you need to consider the decimal place value. Since there is only one decimal place, you can write 6.3 as 63/10. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 1 in this case), you get 63/10. So, 6.3 can be written as 63/10 in the form a/b.
4. 10 1/2:
To convert the mixed number 10 1/2 into a fraction, you need to follow the same steps as explained in the previous example. Multiply the whole number (10) by the denominator of the fraction (2). Then, add the numerator (1) to that product. This gives you 21 as the new numerator. Keep the denominator (2) the same. So, 10 1/2 can be written as the fraction 21/2.
Now you have the rational numbers expressed in the form a/b:
4.75 = 19/4
6 1/8 = 49/8
6.3 = 63/10
10 1/2 = 21/2