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Mathematics 13 Online
heartssformoraaa:

Jeff is making 2/3 of spaghetti sauce. How much will he need of each ingredient below?

Vocaloid:

full question (please post this next time) jeff is making 2/3 of a recipe for spaghetti sauce. How much will he need of each ingredient below? 1 1/4 cup water 2 cups of tomato paste 3/4 teaspoon of oregano 4 1/2 teaspoons of salt

Vocaloid:

assuming the listed ingredients are for the whole recipe, he will need 2/3 of each ingredient quantity. for the mixed numbers like 1 and 1/4 there's a couple ways you could multiply. 1. you could convert the mixed number to an improper fraction, then multiply by 2/3 as you would normally. multiply the numerators, multiply the denominators, then the final product is (product of numerators) / (product of denominators). 2. you could split the mixed number into its whole number + fractional component. for example, 1 1/4 would split into 1 + 1/4. then you'd distribute (2/3)(1 + 1/4), multiply, then convert both fractions to the same denominator and add the fractions.

Vocaloid:

I can show you how to convert the water first and let you try the other ingredients as an exercise. using method 1, convert 1 1/4 to an improper fraction. |dw:1674241132462:dw|

Vocaloid:

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Vocaloid:

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Vocaloid:

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Vocaloid:

from there, you can multiply (5/4) * (2/3) as normal. \[\frac{ 5 }{ 4 }*\frac{ 2 }{ 3 }=\frac{ 10 }{ 12 }=\frac{ 5 }{ 6 }\]so he'll need 5/6 of a cup of water for the 2/3 recipe. repeat for the other ingredients.

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