This math topic focuses on advanced rates and ratios. It includes problems on finding equivalent ratios and adjusting recipe ingredient quantities using non-integer multiples, specifically fraction calculations. Students are required to calculate the necessary proportions of ingredients in recipes or color mixing for paint, by applying their understanding of proportional reasoning with fractions. These problems help sharpen mathematical skills in practical, everyday scenarios, encouraging proficiency in ratio calculations and manipulations involving fractional values.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Ratios - Equivalent, Expanding Recipes with Non-Integer Multiples - Fractions Worksheet

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Ratios - Equivalent, Expanding Recipes with Non-Integer Multiples - Fractions
1
This paint color needs 3/4 cup of blue for every 1/2 cup of magenta. How many cups of blue is needed if you have 1/4 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 3 over 8 \text{cup}
b A LaTex expression showing 3 over 32 \text{cup}
c A LaTex expression showing 5 \text{cup}
d A LaTex expression showing 5 over 16 \text{cup}
2
This sundae needs 3/4 cup of strawberry for every 1/2 cup of chocolate. How many cups of strawberry is needed if you have 1/5 cup of chocolate
An svg image showing a math problem
a A LaTex expression showing 3 over 10 \text{cup}
b A LaTex expression showing 5 over 21 \text{cup}
c A LaTex expression showing 3 over 40 \text{cup}
d A LaTex expression showing 1 over 4 \text{cup}
3
This paint color needs 1/4 cup of blue for every 1/2 cup of magenta. How many cups of blue is needed if you have 2/3 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 1 over 3 \text{cup}
b A LaTex expression showing 1 over 2 \text{cup}
c A LaTex expression showing 1 over 12 \text{cup}
d A LaTex expression showing 3 \text{cup}
4
This sauce needs 0 cup of mustard for every 1/4 cup of ketchup. How many cups of mustard is needed if you have 1/8 cup of ketchup
An svg image showing a math problem
a A LaTex expression showing 0 \text{cup}
b A LaTex expression showing 4 \text{cup}
c A LaTex expression showing 2 \text{cup}
5
An svg image showing a math problem
This paint color needs 0 cup of blue for every 1/4 cup of magenta. How many cups of blue is needed if you have 1/8 cup of magenta
a A LaTex expression showing 0 \text{cup}
b A LaTex expression showing 4 \text{cup}
6
This paint color needs 1/4 cup of blue for every 1/2 cup of magenta. How many cups of blue is needed if you have 1/2 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 1 over 4 \text{cup}
b A LaTex expression showing 1 over 16 \text{cup}
c A LaTex expression showing 3 over 8 \text{cup}
d A LaTex expression showing 3 \text{cup}
7
This paint color needs 3/4 cup of blue for every 1/2 cup of magenta. How many cups of blue is needed if you have 3/10 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 9 over 20 \text{cup}
b A LaTex expression showing 11 over 41 \text{cup}
c A LaTex expression showing 11 over 40 \text{cup}
d A LaTex expression showing 11 \text{cup}
8
This sundae needs 0 cup of strawberry for every 1/4 cup of chocolate. How many cups of strawberry is needed if you have 1/4 cup of chocolate
An svg image showing a math problem
a A LaTex expression showing 0 \text{cup}
b A LaTex expression showing 4 \text{cup}
c A LaTex expression showing 2 \text{cup}