How to Convert Fraction 150/100 to a Simplified Ratio

$Math Problem$

Mathematics Grade 6

Question Content

Convert 150/100 to a ratio

Correct Answer

3:2

Detailed Solution Steps

1
Step 1: Simplify the fraction 150/100. The GCD of 150 and 100 is 50. Divide both numerator and denominator by 50: 150÷50=3, 100÷50=2, so the simplified fraction is 3/2.
2
Step 2: Convert the simplified fraction to a ratio, so 3/2 = 3:2.

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, even when the numerator is larger than the denominator.

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, including improper fractions.

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