Conversion of Fraction 175/125 to a Simplified Ratio

$Math Problem$

Mathematics Grade 6

Question Content

Convert 175/125 to a ratio

Correct Answer

7:5

Detailed Solution Steps

1
Step 1: Simplify the fraction 175/125. The GCD of 175 and 125 is 25. Divide both numerator and denominator by 25: 175÷25=7, 125÷25=5, so the simplified fraction is 7/5.
2
Step 2: Convert the simplified fraction to a ratio, so 7/5 = 7:5.

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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