How do you convert 1 3/4 lb to oz?

1 Answer
Meave60
Mar 29, 2018

#1 3/4# #"lb"##=##color(blue)("28 oz"#.

Explanation:

Use dimensional analysis.

#"1 lb"##=##"16 oz"#

This gives you two conversion factors:

#"1 lb"/"16 oz"# and #"16 oz"/"1 lb"#

Convert #1 3/4# #"lb"# to an improper fraction. Multiply the denominator by the whole number and add the numerator. Place the total over the denominator.

#1 3/4# #"lb"=(4xx1+3)/4=7/4#

Multiply #7/4# #"lb"# by the conversion factor that has the unit you want #("oz")# in the numerator. This will cancel #"lb"#.

#7/4color(red)cancel(color(black)("lb"))xx("16 oz")/(1color(red)cancel(color(black)("lb")))="28 oz"#

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