Student Academic Learning Services Page 1 of 2 Unit Conversion Review Mixed Imperial to Metric Convert the following: a) 8 pounds 9 ounces b) 9 feet 5¾ inches to kilograms to metres c) 12 stone 5 pounds to kilograms Step 1: Convert the first imperial unit to metric Relation: 1 kg = 2.2 lb Relation: 1 st. = 6.35 kg 8 ππ × Step 3: Add them together www.durhamcollege.ca/sals 9 ππ‘ × 1π 3.28 ππ‘ 6.35 ππ 1 π π‘. = 12 × 6.35 ππ = 76.2 ππ 12 π π‘.× 8 ππ 2.2 = 3.63 ππ = Relation: 1 kg = 35.3 oz Relation: 1 m = 39.35 in 1 ππ 9 ππ§ × 35.3 ππ§ 9 = ππ 35.3 = 0.255 ππ 5 ¾ in = 5.75 in = 3.63 ππ + 0.255 ππ = 3.89 ππ 2.74 π + 0.146 π = 2.886 π = Step 2: Convert the second imperial unit to metric 1 ππ 2.2 ππ Relation: 1 m = 3.28 ft 9 π 3.28 = 2.74 π 5.75 ππ × 1π 39.35 ππ 5.75 π 39.35 = 0.146 π Relation: 1 kg = 2.2 lb 5 ππ × 1 ππ 2.2 ππ 5 ππ 2.2 = 2.27 ππ = 76.2 ππ + 2.27ππ = 78.47 ππ Student Services Building (SSB), Room 204 905.721.2000 ext. 2491 This document last updated: 7/27/2011 Student Academic Learning Services Page 2 of 2 Metric to Mixed Imperial Convert the following: Step 1: Convert original to large imperial unit as a decimal Step 2: Convert decimal portion to small imperial unit Step 3: Round decimal portion from step 2 to a fraction if necessary a) 1.25 m to feet and inches 1.25 π × = 4.1 ππ‘ 0.1 ππ‘ × = 1.2 ππ 3.28 ππ‘ 1π 12 ππ 1 ππ‘ No fraction necessary. Just round to nearest inch: 1.2 ππ β 1 ππ Step 4: Combine to make the final answer. www.durhamcollege.ca/sals 1.25 m = 4 ft 1 in b) 3.8 kg to pounds and ounces 2.2 ππ 1 ππ = 8.36 ππ 3.8 ππ × 0.36 ππ × = 5.76 ππ§ 1 ππ‘ 30.48 ππ 0.38 ππ‘ × 12 ππ 1 ππ‘ = 4.56 ππ No fraction necessary. Round to nearest ounce: 3.8 kg = 8 lb 6 in 225 ππ × = 7.38 ππ‘ 16 ππ§ 1 ππ 5.76 ππ β 6 ππ c) 225 cm to feet and inches rounded to nearest 8th of an inch 8 0.56 ππ × 8 4.48 = ππ 8 4 β ππ 8 225 ππ = 7 ππ‘ 4 4οΏ½8 ππ Student Services Building (SSB), Room 204 905.721.2000 ext. 2491 This document last updated: 7/27/2011
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