By Editors of Fine Woodworking

Designing and construction cupboards comprises articles that current the fundamentals of layout and development in easy-to-understand, obtainable phrases. From the editors of excellent Woodworking-the dream group of woodworking professionals-this is an absolutely listed, final visible reference for woodworkers.

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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.