Conversion of Fraction 8/100 to a Simplified Ratio

$Math Problem$

Mathematics Grade 6

Question Content

Convert 8/100 to a ratio

Correct Answer

2:25

Detailed Solution Steps

1
Step 1: Simplify the fraction 8/100. The GCD of 8 and 100 is 4. Divide both numerator and denominator by 4: 8÷4=2, 100÷4=25, so the simplified fraction is 2/25.
2
Step 2: Convert the simplified fraction to a ratio, so 2/25 = 2:25.

Knowledge Points Involved

Fraction Simplification

A fraction is simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), the largest number that divides both evenly. This reduces the fraction to its lowest terms for clear ratio representation.

Fraction to Ratio Conversion

A fraction a/b can be directly converted to the ratio a:b, where a is the antecedent (first term) and b is the consequent (second term) of the ratio. This works because ratios represent the same proportional relationship as fractions.

Loading solution...