Mason used 1/6 of a gram of honey to make 1/10 of a pan of pudding. How many grams of honey are needed per pan of pudding?

Answer 1

For 1/10 of a pan he used 1/6g of honey

the full pan is 1/10*10=1

so the honey used for the whole pan is

1/6*10=10/6g =5/3g(simplified)

= 1 2/3g (mixed number)

Answer 2

¹/₁₀ pan * 10 = 1 pan

And just as we multiplied the one-tenth by ten to get a full pan, we also need to multiply the grams of honey used by 10:

¹/₆ * 10 = ¹⁰/₆

Factor out 2:

^{5 * 2}/_{3 * 2}

⁵/₃ grams as an improper fraction, or 1 ²/₃ as a mixed number.