Question
Write the next three rational numbers to complete the pattern: $\frac{4}{-5},\frac{8}{-10},\frac{12}{-15},\frac{16}{-20},$ ___, ____, ____.
✓
Answer
Given rational number is $\frac{4}{-5}.$So, the equivaient rational numbers are
$\frac{4\times5}{-5\times5}=\frac{20}{-25},\frac{4\times6}{-5\times6}=\frac{24}{-30}$
and $\frac{4\times7}{-5\times7}=\frac{28}{-35}$
Hence, three equivalent rational numbers are,
$\frac{20}{-25},\frac{24}{30},\frac{28}{-35}.$
$\frac{4\times5}{-5\times5}=\frac{20}{-25},\frac{4\times6}{-5\times6}=\frac{24}{-30}$
and $\frac{4\times7}{-5\times7}=\frac{28}{-35}$
Hence, three equivalent rational numbers are,
$\frac{20}{-25},\frac{24}{30},\frac{28}{-35}.$
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