Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.
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Hi! I'm happy to help!
To first solve this, we need to make those mixed numbers improper fractions.
To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.
÷(−1
)
Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.
÷(−
)
From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.
×(−
)
Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)
-
<u>Since we cannot simplify, our final answer is -63/20.</u>
I hope this was helpful, keep learning! :D