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Answer :
Final answer:
A subtraction problem with unlike mixed numbers and an LCD of 10 could be 2 1/2 - 1 3/10 which, after converting to improper fractions and performing the subtraction, results in a difference of 1 1/5.
Explanation:
Let's create an example of a subtraction problem with unlike mixed numbers with a least common denominator (LCD) of 10: 2 1/2 - 1 3/10. First, we have to convert these mixed numbers to improper fractions: 2 1/2 is the same as 5/2, and 1 3/10 is the same as 13/10. However, we need to have the same denominators to subtract these fractions, so we convert 5/2 to 25/10, since 10 is our stated LCD.
Now we can subtract 25/10 - 13/10. The subtraction process for fractions involves keeping the same denominator and subtracting the numerators, so 25 - 13 gives us 12. So, the difference is 12/10, which simplifies to 6/5, or as a mixed number, it would be 1 1/5.
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Final answer:
To find the difference between the mixed numbers 8 and 20 610 with a least common denominator of 10, we need to convert the mixed numbers into improper fractions, subtract the fractions, and simplify the result. The difference in simplest fraction form is -63/5.
Explanation:
In this problem, we need to write a subtraction problem with unlike mixed numbers and a least common denominator of 10 and find the difference in simplest fraction form. To do this, we can choose option C) 8-20:610. This means 8 minus 20 and 6/10. Note that 610 is the same as 6/10. Let's subtract:
Subtraction:
8 - 20 6/10
To subtract mixed numbers, we first need to convert them into improper fractions. 8 can be written as 8/1 and 20 6/10 can be written as 20 + 6/10 = 20 3/5 = (20 * 5 + 3)/5 = 103/5. Now, subtract:
8/1 - 103/5
To find the difference in simplest fraction form, we need to find the least common denominator (LCD) between 1 and 5, which is 5. We can multiply the numerators and denominators by the necessary factors to get the same denominator, which is 5 in this case:
8/1 * 5/5 - 103/5 * 1/1
40/5 - 103/5 = (40 - 103)/5 = -63/5
Therefore, the difference in simplest fraction form for the subtraction problem 8-20 610 is -63/5.
