Ratios and Fractions

Q. Which fraction in its simplest form represents the ratio $8:12?$

1. $\frac{2}{3}$
2. $\frac{8}{12}$
3. $\frac{4}{6}$
4. $\frac{12}{8}$

Q.

Find the ratio of the price of the coffee to that of the tea when coffee costs $Rs120per100grams$ and tea costs $Rs160perkg.$

Q.

Find the ratio of $2\mathrm{L}750\mathrm{ml}\mathrm{to}750\mathrm{ml}$.

Q. Convert the ratio $15:20$ to the fraction.

1. $\frac{1}{2}$
2. $\frac{3}{4}$
3. $\frac{15}{20}$
4. $\frac{20}{15}$

Q.

A ratio in the simplest form is $3:5.$

If its consequent is $55,$ find the antecedent.

Q.

A ratio in the simplest form is $3:5.$

If its antecedent is $21,$ find the consequent.

Q.

The simplest form of the ratio $75:375$ is _____.

1. $5:1$

2. $1:5$

3. $5:25$

4. $25:5$

Q.

Express $3km$ to $4.5km$ into ratio, fraction, read as and simplest form.

Q. A bag contains $8$ red balls and $6$ green balls. What is the ratio of the red balls to the green balls?

1. $3:4$
2. $8:3$
3. $6:8$
4. $4:3$

Q.

Express $50$ boys to $40$ girls into ratio, fraction, read as and simplest form.

Q.

Express the following ratio in the simplest form: $1\frac{1}{2}:3\frac{1}{2}$.

Q. The Fibonnaci sequence is a series of numbers where every next number is a sum of the previous two numbers.
It looks like this: $1,1,2,3,5,8$
What's special about this is that the numbers give rise to a fixed ratio known as the golden ratio.
Calculate $\frac{(8+5)}{8},\frac{(5+3)}{5},\frac{(3+2)}{3}$. Can you guess the ratio?

1. 1.6

Q. The fraction of the strip shaded in green can be represented as.

1. 6:8
2. 6:4
3. 6:2

Q. Carlos has a collection of balls. The ratio of blue balls to the red balls is $3:6,$ then

1. Fraction of the blue balls out of the total balls is $\frac{1}{3}$
2. Fraction of the blue balls out of the total balls is $\frac{1}{2}$
3. Fraction of the red balls out of the total balls is $\frac{2}{3}$
4. Fraction of the red balls out of the total balls is $2$

Q.

One-fourth of a salad is cucumber and three fourth of salad is tomatoes. What is the ratio of cucumbers to tomatoes in the salad?

1. $1:4$
2. $3:4$
3. $1:3$
4. $3:1$

Q. In a bag there are yellow sweets and pink sweets. The ratio of yellow sweets to pink sweets is 4 : 9. What fraction of the sweets are pink?

1. $\frac{9}{13}$
2. $\frac{4}{13}$
3. $\frac{9}{4}$
4. $\frac{1}{9}$

Q.

Simplify the ratio 100km:1km

Q.

Express $30gm$ to $50gm$ into ratio, fraction, read as and simplest form.