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2/3 is bigger than 2/5.
To compare fractions either
- make them equivalent fractions with a common denominator:
2/3 = (2x5)/(3x5) = 10/15
2/5 = (2x3)/(5x3) = 6/15
10 > 6 ⇒ 2/3 > 2/5
- or convert them to decimals:
2/5 = 2 ÷ 5 = 0.4
0.666... > 0.4 ⇒ 2/3 > 2/5
As the numerators (top numbers) are the same (both are 2), a direct comparison can be made via the denominators (bottom numbers):
the larger the denominator, the more pieces make up 1 (a whole) and so the smaller each piece must be
Or to put it another way:
the larger the denominator, the smaller the fraction for a given numerator
3 < 5 ⇒ 1/3 > 1/5⇒ 2/3 > 2/5
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