**Division of monomials by monomials worksheet :**

Here we are going to see some practice questions on division of monomial by another monomials.

(1) Simplify 5a^{2}b^{2}c^{2 }÷ 15abc

(2) Simplify 16x^{4 }÷ 32x

(3) Simplify -42y^{3 }÷ 7y^{2}

(4) Simplify 30 a^{3}b^{3}c^{3}^{ }÷ 45 abc

(5) Simplify 72 l^{4}m^{5}n^{8}^{ }÷ (-8l^{2}m^{2}n^{3})

(6) Simplify 25x^{3}y^{2}^{ }÷ 15x^{2}y

(7) Simplify (7m^{2 }- 6m)^{ }÷ m

**Question 1 :**

Simplify 5a^{2}b^{2}c^{2 }÷ 15abc

**Solution :**

5a^{2}b^{2}c^{2 }÷ 15abc = 5a^{2}b^{2}c^{2 }/15abc

By dividing 5 and 15, we get 3 in the denominator.

By dividing a^{2} by a, we get a in the numerator.

By dividing b^{2} by b, we get b in the numerator.

By dividing c^{2} by c, we get c in the numerator.

Hence the answer is abc/3

**Question 2 :**

Simplify 16x^{4 }÷ 32x

**Solution :**

16x^{4 }÷ 32x = 16x^{4 }/32x

By dividing 16 and 32, we get 2 in the denominator.

By dividing x^{4} by x, we get x^{3} in the numerator.

Hence the answer is x^{3}/2

**Question 3 :**

Simplify -42y^{3 }÷ 7y^{2}

**Solution :**

-42y^{3 }÷ 7y^{2} = -42y^{3 }/ 7y^{2}

By dividing 42 by 7, we get 6 in the numerator.

By dividing y^{3} by y^{2}, we get y in the numerator.

Hence the answer is -6y

**Question 4 :**

Simplify 30 a^{3}b^{3}c^{3}^{ }÷ 45 abc

**Solution :**

30 a^{3}b^{3}c^{3}^{ }÷ 45 abc = 30 a^{3}b^{3}c^{3}^{ }/45 abc

by simplifying 30 and 45, we get 2 in the numerator and 3 in the denominator.

By dividing a^{3} by a, we get a^{2} in the numerator.

By dividing b^{3} by b, we get b^{2} in the numerator.

By dividing c^{3} by c, we get c^{2} in the numerator.

Hence the answer is (2/3) a^{2 } b^{2} c^{2}

**Question 5 :**

Simplify 72 l^{4}m^{5}n^{8}^{ }÷ (-8l^{2}m^{2}n^{3})

**Solution :**

72 l^{4}m^{5}n^{8}^{ }÷ (-8l^{2}m^{2}n^{3}) = 72 l^{4}m^{5}n^{8} /(-8l^{2}m^{2}n^{3})

by simplifying 72 and -8, we get 9 in the numerator.

By dividing l^{4} by l^{2}, we get l^{2} in the numerator.

By dividing m^{5} by m^{2}, we get m^{3} in the numerator.

By dividing n^{8 }by n^{3}, we get n^{5} in the numerator.

Hence the answer is 9 l^{2 } m^{2} n^{2}

**Question 6 :**

Simplify 25x^{3}y^{2}^{ }÷ 15x^{2}y

**Solution :**

25x^{3}y^{2}^{ }÷ 15x^{2}y = 25x^{3}y^{2}^{ }/15x^{2}y

by simplifying 25 and 15, we get 5 in the numerator and 3 in the denominator.

By dividing x^{3} by x^{2}, we get x in the numerator.

By dividing y^{2 }by y, we get y in the numerator.

Hence the answer is (5/3)xy

**Question 7 :**

Simplify (7m^{2 }- 6m)^{ }÷ m

**Solution :**

(7m^{2 }- 6m)^{ }÷ m = (7m^{2 }- 6m)/m

= (7m^{2}/m) - (6m/m)

= 7m - 6

Hence the answer is 7m - 6.

After having gone through the stuff given above, we hope that the students would have understood "Division of a monomial by a monomial".

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