Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 6.1 Ratios to secure good marks & knowledge in the exams.

Exercises Divide

Question 1.
$$\frac{10}{6}$$ = $$\frac{60}{36}$$ ______
True,

Explanation:
$$\frac{10}{6}$$ = $$\frac{60}{36}$$,
When we multiply both the numerator and denominator with 6, we get equal ratio.
$$\frac{10×6}{6×6}$$ = $$\frac{60}{36}$$.

Question 2.
$$\frac{4}{6}$$ = $$\frac{16}{24}$$ ______
True,

Explanation:
$$\frac{4}{6}$$ = $$\frac{16}{24}$$,
When we multiply both the numerator and denominator with 4, we get equal ratio.
$$\frac{4×4}{6×4}$$ = $$\frac{16}{24}$$.

Question 3.
$$\frac{13}{26}$$ = $$\frac{39}{78}$$ ______
True,

Explanation:
$$\frac{13}{26}$$ = $$\frac{39}{78}$$,
When we multiply both the numerator and denominator with 3, we get equal ratio.
$$\frac{13×3}{26×3}$$ = $$\frac{39}{78}$$.

Question 4.
$$\frac{11}{5}$$ = $$\frac{132}{60}$$ _____
True,

Explanation:
$$\frac{11}{5}$$ = $$\frac{132}{60}$$,
When we multiply both the numerator and denominator with 12, we get equal ratio.
$$\frac{11×12}{5×12}$$ = $$\frac{132}{60}$$.

Question 5.
$$\frac{18}{28}$$ = $$\frac{27}{42}$$ _____
True,

Explanation:
$$\frac{18}{28}$$ = $$\frac{27}{42}$$,
When we divide both the numerator and denominator with 2 , we get equal ratio.
$$\frac{18}{28}$$ ÷ $$\frac{2}{2}$$ = $$\frac{9}{14}$$.
When we multiply both the numerator and denominator with 3, we get equal ratio.
$$\frac{9}{14}$$ x $$\frac{3}{3}$$ = $$\frac{27}{42}$$.

Question 6.
$$\frac{6}{19}$$ = $$\frac{15}{57}$$ _____
False,
Explanation:
$$\frac{6}{19}$$,
denominator is a prime number not divisible with any other then 19.
$$\frac{6}{19}$$ = $$\frac{15}{57}$$,
can not be equated.

Question 7.
$$\frac{27}{52}$$ = $$\frac{58}{104}$$ _____
False,
Explanation:
$$\frac{27}{52}$$,
the numerator and denominator are not divisible with same number.
$$\frac{27}{52}$$ = $$\frac{58}{104}$$,
can not be equated.

Question 8.
$$\frac{18}{15}$$ = $$\frac{12}{10}$$ _____
True,

Explanation:
$$\frac{18}{15}$$ = $$\frac{12}{10}$$,
When we divide both the numerator and denominator with 3, we get equal ratio.
$$\frac{18}{15}$$ ÷ $$\frac{3}{3}$$ = $$\frac{6}{5}$$.
When we multiply both the numerator and denominator with 2, we get equal ratio.
$$\frac{6}{5}$$ x $$\frac{2}{2}$$ = $$\frac{12}{10}$$.
State the ratio as a fraction 3 : 2

Question 9.
Paul is making a plaster mixture for his sculpture class. If he mixes 5 ounces of plaster with 4 ounces of water, what is the ratio of plaster to water?
$$\frac{5plaster}{4water}$$,

Explanation:
Paul has 5 ounces of plaster and 4 ounces of water,
to make a mixture for his sculpture class.
He needs the ratio of plaster to water is $$\frac{5plaster}{4water}$$ or 5:4.

Question 10.
Erika’s mom separates the laundry into sets. If she puts two sheets and three pillow cases into each set, what is the ratio of pillowcases to sheets?
$$\frac{3pillow cases}{2sheets}$$,

Explanation:
If Erika’s mom puts two sheets and three pillow cases into each set,
The ratio of pillowcases to sheets is $$\frac{3pillow cases}{2sheets}$$ or 3:2.

Question 11.
Floyd is setting tables for a sports banquet. For each place setting, he puts two forks to the left of the plate and a knife and a spoon to the right of the plate. What is the ratio of forks to knives?
$$\frac{2forks}{1knife}$$,

Explanation:
Floyd puts two forks to the left of the plate and a knife and a spoon to the right of the plate.
The ratio of forks to knives is $$\frac{2forks}{1knife}$$ or 2:1.

Question 12.
Jean is making pizza. She adds 4 slices of pepperoni and 3 olives to each slice of pizza. What is the ratio of pepperoni to olives?
________________
What is the ratio of olives to pepperoni?
________________
The ratio of pepperoni to olives is $$\frac{4pepperoni}{3olives}$$,
The ratio of olives to pepperoni is $$\frac{3olives}{4peperoni}$$,
The ratio of pepperoni to olives is $$\frac{4pepperoni}{3olives}$$ or 4:3.
The ratio of olives to pepperoni is $$\frac{3olives}{4peperoni}$$ 3:4.