Answer :
The value of the expression x/57 = 8/9 as a mixed number is x = 50( 6/9 ).
Consider the expression,
x/57 = 8/9
Multiplying each side of the expression by 57
x/57 × 57 = 8/9 × 57
x = ( 8 / 9 ) × 57
x = 456 / 9
Divide the numerator by the denominator to create a mixed number from an incorrect fraction. The mixed number is created after the division in such a way that the achieved quotient becomes the whole number, the leftover becomes the new numerator, and the denominator stays the same.
Therefore,
x = 456/9 = 50.667
Now, 456 = 450 - ( 9 × 50 ) = 456 - 450 = 6
Therefore, x as a mixed number is:
x = 456/9
x = 50( 6/9 )
Hence, the value as a mixed number is 50( 6/9 ).
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