Why is 1 over 3 equal to 2 over 6?

Answer 1

1/3 is equal to 2/6 as they are equivalent fractions.

Equivalent fractions are made by multiplying (or dividing) both the numerator and denominator by the same value:

1/3 = (1×2)/(3×2) = 2/6

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This is a result of the way fractions are multiplied together (multiply the numerators together and multiply the denominators together), and a fraction with the same numerator and denominator is the same as the number 1 (since a fraction is equivalent to the the numerator divided by the denominator when converted to a decimal) and multiplying a number by 1 is the same as leaving the number alone:

2/2 = 2 ÷ 2 = 1

1/3 = 1/3 × 1 = 1/3 × 2/2 = (1×2)/(3×2) = 2/6