Fractions and Proportions

Fraction and Ratio

_{Fraction ( from Latin fractus, “broken” ) represents a part of a whole or more generally, any number of equal parts.}

_{Two Main Parts of a Fraction :}

_{1. Numerator- to the number on the top of the line. - It tells how many equal parts of the whole or collection are taken.}

_{2. Denominator - to the number below the line.}

_{It shows the number of the whole is being divided. It functions as divisor of the numerator.} 

_{Ratio is a relationship between two numbers of the same kind. It is a way of comparing two or more quantities having the same units. A ratio can be written in three different ways such as: word form → a is to b colon form → a : b fraction form ( by giving the value of their quotient ) → 𝑎 𝑏 ⁄}

Multiple Choice

What is 14 out of 56 expressed as a fraction?

• 1/4

• 1/3

• 1/6

• 2/4

Multiple Choice

A class of 32 students has 12 girls. What is the ratio of girls to boys?

• 2:5

• 1:5

• 3:5

• 2:1

Ratio and Proportion

• Ratio is the spoken language of arithmetic. It is a way of comparing two or more quantities having the same units. 

• Proportion is an equality between two ratios or fractions.

Multiple Select

A proportion can be written in two ways:

• as two equal fractions

• using a colon a : b = c : d → read as a is to b as c is d

• none of the above

• only first option