Understanding Fractions, Decimals, and Percent Conversions

Unit 1: Fractions, Decimals, and Percent

Fraction, Decimal, and Percent Conversion - Review Fraction 45 Decimal Percent 1 0.3 182% 38 0.25 0.04% 11000

Converting Decimal Inches to Special Fractions The most useful fractions for steam/pipe fitters are those having denominators of 2, 4, 8, and 16 The imperial ruler uses inches, which are further divided into 16ths of an inch Calculations in steam/pipe are often done in decimal form and must be converted to the nearest useful equivalent fraction

Converting Decimal Inches to Special Fractions Convert 0.831 to the nearest 1/16 inch Multiply 0.831 by the fraction 16 16 0.831 1 16 16=13.296 16 Round the numerator to the nearest whole number 13.296 16 13 16inches

Converting Decimal Inches to Special Fractions Convert 6.894 to the nearest 1/16 inch 0.894 1 16 16=14.304 14 16or7 16 8 Therefore, 6.894 is approximately 67 8inches

Converting Decimal Inches to Special Fractions Convert the following decimals to the nearest 1/16 inch; reduce to lowest terms 14.629 = 15.425 = 26.24 = 0.135 = 11.006 =

Converting Decimal Inches to Special Fractions Convert 15.299 to feet and inches First, multiply 0.299 by 12 to change from decimal feet to inches 0.299" 12 = ?.588" Next, multiply 0.588 by 16 16to round to the nearest 1/16 inch 0.588 1 16 16=9.408 9 16 16 9 Thus, 15.299 is the same as 15 3 16"

Converting Decimal Inches to Special Fractions Convert 164.0364 to feet and inches; round the nearest 1/16 inch

Elevation and Grade An elevation is a certain distance above or below a fixed point Building elevations may be specified based on sea-level, but often a number, such as 100.00 feet, is used as a reference or benchmark Elevation measurements are expressed in feet and decimal parts of a foot

Elevation and Grade Convert 8 45 8" to decimal feet Convert 94.28 to feet and inches

Elevation and Grade A benchmark is 100.00 feet The basement floor is 94.70 feet elevation The first floor is 102.95 feet elevation a) How far below the benchmark is the basement floor? b) How far is it from the basement floor to the first floor?

Grade The following triangle will help with calculations involving grade

Elevation and Grade A house drain has a run of 30 feet at a grade of 1/8 inch per foot. The low end has elevation of 93.50 feet. What elevation is the high end? 116inch, is a drop of 5 What grade, to the nearest inches in 22 feet?

Applications Involving Percent A large construction firm has 150 workers. If 20% of the workers have at least 15 years of pipefitting experience, how many workers have at least 15 years of experience?

Percent To eliminate many of the common errors that occur with percent, the following percent triangle may help

Applications Involving Percent A pipefitter is making $18.85 per hour after an increase of 10%. What was he making per hour before the raise?

Applications Involving Percent A company charges $3850 for materials. If you make a payment of $1225, what percent is left to be paid?

Applications Involving Percent A home that cost $85,000 in 1992 now costs $122,000 to build. What is the percent increase in cost?

Applications Involving Percent A builder receives a 15% discount on large quantities of materials at a building supply warehouse. If the builder s purchases price out at $28,570 (retail price), how much will he pay?

Applications Involving Percent A 5 % sales tax is added to purchases totaling $82.15. How much is the sales tax, and how much is the total cost of the purchases?

Applications Involving Percent A 20 m pipe is graded down 2 %. What is the total fall of the pipe?

Application Involving Percent What percent grade is a drop of 5 inches in 22 feet?