By Tom Begnal
Multiply your woodworking talents
There's no getting round it: woodworking consists of math. if you happen to do not know the way to do simple calculations, you may be at a little bit of an obstacle as a woodworker. nonetheless, when you know the way to paintings with fractions, decimals, angles, and geometric shapes, you are going to extend your features within the store repeatedly over.
Don't fear if you have struggled with store math some time past. You carry the suggestions on your fingers. In those pages, you will discover easy ways for every thing from including fractions and decimals to laying out ellipses, octagons, and different shapes that might extend your layout repertoire. you will learn:
- how to simply calculate the right kind quantity of wooden and finishes you will need for projects
- how to transform a furnishings picture right into a dimensional drawing
- how to regulate the rate of a laptop via combining the right kind sizes of pulleys, and plenty more
Add all of it up, and it makes for a very good purchase in a store book.
Read or Download Popular woodworking practical shop math: portable, accurate, complete PDF
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Additional resources for Popular woodworking practical shop math: portable, accurate, complete
Sample text
Subtracting Unlike Fractions Unlike fractions can be subtracted, but first they must be changed to fractions that have a common denominator. ) Example: Subtract 5 ⁄ 16 from 7 ⁄ 8 . STEP 1: Write the problem. 7- 5 = 8 16 STEP 2: Determine the lowest common denominator. The lowest common denominator is 16. STEP 3: Raise the fraction 7 ⁄ 8 to higher terms with the common denomina- tor 16, using 2 as the common number. 7 × 2 = 14 8 × 2 16 STEP 4: Subtract the like fractions. 14 - 5 = 9 16 16 16 Therefore, 7 ⁄ 8 – 5 ⁄ 16 = 9 ⁄ 16, which cannot be reduced.
The lowest common denominator is 8. Raise the fraction 3 ⁄ 4 to higher terms with the common denominator 8, using 2 as the common number. 3×2 6 = 4×2 8 Rewrite the problem and subtract. 327 ⁄ 8 – 286 ⁄ 8 = 41 ⁄ 8 Therefore, 327 ⁄ 8" – 286 ⁄ 8" = 41 ⁄ 8". STEP 4: Divide 41 ⁄ 8 by 2. 41 ⁄ 8 ÷ 2 Convert the mixed number into an improper fraction and rewrite the problem. 41 ⁄ 8 = 33 ⁄ 8 33 ⁄8 ÷ 2 Write the problem with the whole number as a fraction. 33 2 ÷ 8 1 Invert the divisor and multiply. 33 1 33 × = 8 2 16 Change the improper fraction into a mixed number.
After multiplying, change the improper fractions back to mixed numbers. If necessary, review chapter one to see how to change mixed numbers to improper fractions and vice versa. Example: Multiply 31 ⁄ 6 by 22 ⁄ 5 . STEP 1: Write the problem. 31 ⁄ 6 × 22 ⁄ 5 STEP 2: Change the mixed numbers to improper fractions. 31 ⁄ 6 = 19 ⁄ 6 22 ⁄ 5 = 12 ⁄ 5 STEP 3: Rewrite the problem. 19 12 × 6 5 STEP 4: Cancel, if possible. The common number 6 divides into the numerator 12 and the denominator 6. 2 19 12 × 5 6⁄ 1 STEP 5: Multiply the numerators.