TEAS ATI Mathematics Practice Test 2026 - Free Essential Academic Skills Practice Questions and Study Guide

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Simplify: 4(2/3) / 1(1/6)

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To simplify the expression \( 4 \left( \frac{2}{3} \right) \div 1 \left( \frac{1}{6} \right) \), we first convert the mixed number \( 1 \left( \frac{1}{6} \right) \) into an improper fraction. This is done by multiplying the whole number by the denominator and then adding the numerator: \( 1 \times 6 + 1 = 7 \), so \( 1 \left( \frac{1}{6} \right) \) becomes \( \frac{7}{6} \).

Next, rewrite the original expression as a fraction:

\[ 4 \left( \frac{2}{3} \right) = \frac{8}{3} \] (since \( 4 \times \frac{2}{3} = \frac{8}{3} \)).

Now, we convert the division into multiplication by the reciprocal:

\[ \frac{8}{3} \div \frac{7}{6} = \frac{8}{3} \times \frac{6}{7} \].

Now, we multiply:

\[ \frac{8 \

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