High School

A wall of a building is 38 inches wide. Sixteen inches is concrete, 14 inches is brick, and 8 inches is limestone. What fraction of the wall is limestone?

Answer :

Final answer:

The fraction of the wall that is limestone is 4/19, found by dividing the limestone section width (8 inches) by the total wall width (38 inches) and simplifying the fraction.

Explanation:

To find what fraction of the wall is limestone, we will compare the width of the limestone section to the total width of the wall. The wall is 38 inches wide in total and the limestone section is 8 inches wide. To calculate the fraction, we divide the limestone width by the total wall width:

Limestone fraction = Limestone width / Total wall width = 8 inches / 38 inches

Simplifying this fraction by dividing both numerator and denominator by their greatest common divisor, which is 2, we get:

Limestone fraction = 4 / 19

So, the limestone makes up 4/19 of the wall's total width.

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