Simplify the following expression and reduce the answer to its lowest terms:
\[ \frac{20}{40} - \frac{21}{40} \times \frac{80}{7} \]
Answer (3)
40 20 − 40 21 ⋅ 7 80 = 2 1 − 40 3 ⋅ 7 ⋅ 7 2 ⋅ 40 = 2 1 − 1 3 ⋅ 1 2 = 2 1 − 6 = − 5 2 1
40 20 − 40 21 ⋅ 7 80 = 4 0 2 2 0 1 − 4 0 1 2 1 3 ⋅ 7 1 8 0 2 = 2 1 − 6 = − 5 2 1
The expression 40 20 − 40 21 × 7 80 simplifies to 2 − 11 by simplifying the fractions and performing the multiplication and subtraction. The final answer is expressed as a fraction in lowest terms. Thus, the full calculation leads to 2 − 11 .
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