Maths for Age 13 , , , ,

7th Grade – Dividing Rational Numbers Test

Operations with rational numbers is one of the most challenging topics for 7th-grade students. To better reinforce the topic of division with rational numbers, an interactive test has been prepared for students and teachers to use in class. A brief overview and an example are provided. By solving this test, you can take your knowledge of the subject to the next level. Good luck!

 

When dividing two fractions, the first fraction (the dividend) is written as is, and the second fraction (the divisor) is inverted and multiplied by the first fraction (inverting it according to the multiplication operation). After this step, we perform the multiplication as we learned in multiplication with rational numbers.

We should also pay attention to the following in division:

∇ If the dividend is a mixed number, it is converted to an improper fraction.

 

∇ If the dividend is an integer, 1 is written in the denominator.

 

∇ After converting to multiplication, simplification is done if possible. When simplifying, any number in the numerator can be simplified with any number in the denominator of the numbers being multiplied.First, we write the first fraction as is, then we invert the second fraction and perform the multiplication.

7th Grade Dividing Rational Numbers Test

7th Grade – Dividing Rational Numbers Test

16 Questions • Multiple Choice

📘 Quick Facts

Dividing rational numbers:

$$\frac{a}{b} : \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$$

Which means we flip the second fraction and multiply.

Signs:

  • Same sign → Result is positive
  • Different signs → Result is negative

Question 1

What is the result of $$\frac{3}{4} : \frac{2}{5}$$ ?

Question 2

What is the result of $$\frac{5}{6} : \frac{1}{3}$$ ?

Question 3

What is the result of $$\left(-\frac{7}{8}\right) : \frac{1}{4}$$ ?

Question 4

What is the result of $$\frac{2}{3} : \left(-\frac{5}{9}\right)$$ ?

Question 5

What is the result of $$\left(-\frac{4}{7}\right) : \left(-\frac{2}{5}\right)$$ ?

Question 6

What is the result of $$\frac{9}{10} : \frac{3}{5}$$ ?

Question 7

What is the result of $$\left(-\frac{3}{5}\right) : \frac{6}{25}$$ ?

Question 8

What is the result of $$\frac{4}{9} : 2$$ ?

Question 9

What is the result of $$\left(-\frac{5}{12}\right) : (-3)$$ ?

Question 10

What is the result of $$\frac{7}{8} : \frac{7}{4}$$ ?

Question 11

$$\frac{14}{5}$$ liters of fruit juice is poured equally into 6 identical glasses. How many liters of juice are in each glass?

Question 12

A nut seller packs 20 kg of peanuts into bags containing $$\frac{2}{5}$$ kg each, and sells each bag for 30 TL. How much money does he earn in total?

Question 13

Given that $$A : \frac{3}{5} = 1$$ and $$B : \frac{2}{5} = -1$$, what is the value of $$A : B$$ ?

Question 14

A tailor uses $$2\frac{3}{4}$$ meters of fabric for each suit. How many suits can be made from 22 meters of fabric?

Question 15

$$\frac{4}{3}$$ of Emily's money is $160. How many beads can Emily buy with her money if each bead costs $$\frac{12}{5}$$ dollars?

Question 16

What is the quotient when the multiplicative inverse of $$-\frac{4}{7}$$ is divided by the additive inverse of $$-\frac{5}{8}$$ ?

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