# Fractions

Three-quarters of an unknown number are 4/5. What is 5/6 of this unknown number?

Correct result:

x =  0.889

#### Solution:

$3/4 \ a=4/5 \ \\ a=\dfrac{ 4 }{ 5 } \cdot \ \dfrac{ 4 }{ 3 }=\dfrac{ 16 }{ 15 } \doteq 1.0667 \ \\ x=\dfrac{ 5 }{ 6 } \cdot \ a=\dfrac{ 5 }{ 6 } \cdot \ 1.0667=\dfrac{ 8 }{ 9 }=0.889$

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