Question
Write the next three rational numbers to complete the pattern: $\frac{-8}{7},\frac{16}{14},\frac{-24}{21},\frac{-32}{28},$ ___, ____, ____.
✓
Answer
Given rational number is $\frac{-8}{7}.$So, the equivaient rational numbers are
$\frac{8\times5}{7\times5}=\frac{40}{35},\frac{8\times6}{7\times6}=\frac{48}{42}$
and $\frac{-8\times7}{7\times7}=\frac{-56}{49}$
Hence, three equivalent rational numbers are,
$\frac{40}{35},\frac{48}{42},\frac{-56}{49}.$
$\frac{8\times5}{7\times5}=\frac{40}{35},\frac{8\times6}{7\times6}=\frac{48}{42}$
and $\frac{-8\times7}{7\times7}=\frac{-56}{49}$
Hence, three equivalent rational numbers are,
$\frac{40}{35},\frac{48}{42},\frac{-56}{49}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Divide: $\frac{7}{8}$ by $4 \frac{1}{2}$
→In the adjoining figure, AC and BE intersect at P.
ACand BCintersect at C AC and ECintersect at C Try to find another ten pairs of Intersecting line segments.
Should any two lines or line segments necessarily Intersect? Can you find two pairs of non-intersecting line segments in the figure?
Can two lines intersect in more than one point? Think about it.
ACand BCintersect at C AC and ECintersect at C Try to find another ten pairs of Intersecting line segments.
Should any two lines or line segments necessarily Intersect? Can you find two pairs of non-intersecting line segments in the figure?
Can two lines intersect in more than one point? Think about it.
Which of the following are pairs of equivalent rational number? $\frac{3}{12},\frac{-1}{4}$
→Explain the following term: Scalene triangle.
Write the equation for the statement: $2$ subtracted from y is $8.$
→Find
$\frac{7}{9}-\frac{2}{5}$
→$\frac{7}{9}-\frac{2}{5}$
The dimensions of a plot are $200m × 150m$. A builder builds $3$ roads which are $3m$ wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. How much area did he get for building the houses$?$
→Write down the numerator of the following rational number:
$\frac{15}{-4}$
→$\frac{15}{-4}$
Find:$\frac{3}{7}\text{ of }42\text{ litres}$
→Karim and Ramesh are two close friends. Both invested some amount in interest giving plan of a bank. At the end of the plan, Karim received ₹ 13000 more than that of Ramesh. But Ramesh needs some more money for an urgent work. If Karim gives $\frac{1}{2}$ of interest earned by him to Ramesh, also the total interest received by them is ₹ 17000 . Find the interest received by Ramesh and what amount is given by Karim to Ramesh for his help. What type of value depict by Karim?
→