find four rational numbers between 2/3 and 3/4
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Make the 2 denominators the same
2/3 = (2 x 4)/(3 x 4) = 8/12
3/4 = (3 x 3)/(4 x 3) = 9/12
⇒ The two factions are 8/12 and 9/12
To find 3 rational numbers, we multiply each fraction for 4 on both the numerator and denominator.
Multiply the fraction by the factor 4:
8/12 = (8 x 4) / (12 x 4) = 32/48
9/12 = (9 x 4) / ( 12 x 4) = 36/48
⇒ The two factions are 32/48 and 36/48
List the fractions in between:32/48, 33/48, 34/48, 35/48, 36/48
⇒ The fractions are 33/48, 34/48, 35/48.
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