If I had to convert 15 oz. to kg and it was given that 1 oz = 28.35 g and that 1 g = 1000 kg, how would I show my work to get the answer?
15 oz * 28.35g/oz * 1kg/1000g = 0.425 kg
note how the units cancel, just like common factors
okay, thanks! can you also look at this one for me? I'm having trouble getting the right answer.
4 kg to oz.
1 oz = 28.35 g
1g = 1000 kg
4kg x 28.35 g/ 1oz = 113.4 g
113. 4 g x 1 oz / 1000kg = 0.11 oz
The answer is supposed to be 141 oz
gotta make the units cancel.
kg*g/oz makes no sense
kg * g/kg * oz/g = oz
4kg * 1000g/1kg * 1oz/28.35g = 141 oz
what you are doing is multiplying by 1, which does not alter the value
1oz = 28.35g, so
1oz/28.35g = 1
28.35g/1oz = 1
which one you use determines which units cancel
To convert 15 oz. to kg, you'll need to follow a few steps:
Step 1: Convert ounces to grams. Since you know that 1 oz = 28.35 g, multiply 15 oz by 28.35 g/oz:
15 oz * 28.35 g/oz = 425.25 g.
Step 2: Convert grams to kilograms. You're given that 1 g = 1000 kg, so divide the grams by 1000 to get the equivalent kilograms:
425.25 g / 1000 kg/g = 0.42525 kg.
Therefore, 15 oz is equal to approximately 0.42525 kg.
In summary:
15 oz * (28.35 g/oz) = 425.25 g
425.25 g / (1000 kg/g) = 0.42525 kg