To calculate the value of the expression (1+29/110)(1+29/81)(1+29/52)(1+29/23), we can simply multiply the individual terms together. Here's the step-by-step calculation:
(1 + 29/110) = 139/110
(1 + 29/81) = 110/81
(1 + 29/52) = 81/52
(1 + 29/23) = 52/23
Multiplying these fractions together:
(139/110) * (110/81) * (81/52) * (52/23)
We can see that the numerator of each fraction cancels out with the denominator of the next fraction:
(139 * 110 * 81 * 52) / (110 * 81 * 52 * 23)
Simplifying further:
(139 * 1 * 1 * 1) / (1 * 1 * 1 * 23)
The numerator is simply 139, and the denominator is 23. Therefore, the final result is:
139/23
The simplified fraction 139/23 cannot be reduced any further, so that is the exact value of the expression.
Additionally, if you want a decimal approximation, dividing 139 by 23 gives approximately 6.04347826087.