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dimulka [17.4K]
3 years ago
8

Simplify the following algebraic expression 3/4 (1/2x - 12) + 4/5

Mathematics
1 answer:
abruzzese [7]3 years ago
6 0

Answer:

D.     \frac{3}{8}x - 8 \frac{1}{5}

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Simplify the following expression:
Phantasy [73]
\frac{4}{ \frac{1}{4} - \frac{5}{2} }

To begin, we can simplify the expression's denominator by finding a common denominator between the denominators of the fractions in the denominator.  To make them compatible, we can convert \frac{5}{2} into \frac{10}{4}:

\frac{4}{ \frac{1}{4} - \frac{5}{2}( \frac{2}{2}) } = \frac{4}{ \frac{1}{4} - \frac{10}{4} }

Next, we can simplify:

\frac{4}{ \frac{1}{4} - \frac{10}{4} } = \frac{4}{ -\frac{9}{4}}

Finally, to cancel the denominator within the denominator, we can multiply the whole expression by \frac{4}{4}, or 1:

\frac{4}{ -\frac{9}{4}}* \frac{4}{4} =  -\frac{16}{9}

The expression simplifies to -\frac{16}{9}, or -1 \frac{7}{9} as a mixed number.
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