Subtract six and one-half minus four and seven-tenths. Justify your steps
6 1/2 - 4 7/10
You'll need to change the first fraction so that it has the same denominator. You'll also need to regroup.
6 1/2 = 5 15/10
5 15/10 - 4 7/10 = ?
6 1/2 - 4 7/10
first, we convert this to improper fraction (numerator is greater than denominator). We do this be multiplying the whole number to the denominator then add to the numerator:
(6*2 + 1)/2 - (4*10 + 7)/10
(12 + 1)/2 - (40 + 7)/10
13/2 - 47/10
Then, we find the least common denominator (LCD) of the fractions. Their LCD is 10 (it is the smallest number where we can divide 2 and 10 without remainder). We have no problem for the second fraction (since its denominator is already 10). For the first fraction, we do this by dividing the LCD by 2 (10/2 = 5) then multiply this to numerator. Thus,
13*5 / 10 - 47/10
65/10 - 47/10
(65-47)/10
18/10 or 9/5 or 1 4/5
hope this helps~ :)
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How do you write the decimal as a fraction or a mixed number. 0.4986 in simplest form
To subtract six and one-half minus four and seven-tenths, follow these steps:
Step 1: Convert each mixed number to an improper fraction:
- Six and one-half can be written as 6 1/2, which is (6 * 2 + 1) / 2 = 13/2.
- Four and seven-tenths can be written as 4 7/10, which is (4 * 10 + 7) / 10 = 47/10.
Step 2: Find a common denominator between the fractions.
- In this case, the common denominator is 10.
Step 3: Rewrite the fractions with the common denominator.
- 13/2 becomes (13/2) * (5/5) = 65/10.
- 47/10 remains unchanged.
Step 4: Subtract the fractions.
- Subtracting 47/10 from 65/10 gives us (65 - 47) / 10 = 18/10.
Step 5: Simplify the fraction, if needed.
- Since 18 and 10 have a common factor of 2, we can divide both the numerator and the denominator by 2.
- 18/10 simplifies to 9/5.
Therefore, six and one-half minus four and seven-tenths equals 9/5.