This topic focuses on advanced rates and ratios. Specifically, it practices calculating equivalent ratios and expanding recipes using non-integer multiples expressed as fractions. Students learn to scale ingredient quantities in cooking recipes based on given conditions, such as adjusting mustard and ketchup in a sauce, or peaches and limes in a smoothie. The problems require understanding and applying proportional reasoning to find the necessary amounts of one ingredient based on the quantity of another, using fractions to achieve precise measurements. These exercises challenge proficiency in fractional operations within practical contexts.

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 3/8 cup of blue for every 1/2 cup of magenta. How many cups of blue is needed if you have 2/5 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 3 over 10 \text{cup}
b A LaTex expression showing 5 \text{cup}
c A LaTex expression showing 1 over 4 \text{cup}
d A LaTex expression showing 3 over 40 \text{cup}
2
This sauce needs 1/2 cup of mustard for every 5/8 cup of ketchup. How many cups of mustard is needed if you have 5/6 cup of ketchup
An svg image showing a math problem
a A LaTex expression showing 2 over 3 \text{cup}
b A LaTex expression showing 11 over 12 \text{cup}
c A LaTex expression showing 25 over 96 \text{cup}
d A LaTex expression showing 13 over 17 \text{cup}
3
This paint color needs 1/4 cup of blue for every 1/8 cup of magenta. How many cups of blue is needed if you have 1/8 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 9 over 32 \text{cup}
c A LaTex expression showing 9 \text{cup}
d A LaTex expression showing 3 over 11 \text{cup}
4
This sundae needs 7/8 cup of strawberry for every 3/4 cup of chocolate. How many cups of strawberry is needed if you have 3/8 cup of chocolate
An svg image showing a math problem
a A LaTex expression showing 7 over 16 \text{cup}
b A LaTex expression showing 63 over 256 \text{cup}
c A LaTex expression showing 25 over 192 \text{cup}
d A LaTex expression showing 25 over 67 \text{cup}
5
This smoothie needs 3/8 cup of peach for every 1/4 cup of lime. How many cups of peach is needed if you have 1/5 cup of lime
An svg image showing a math problem
a A LaTex expression showing 3 over 10 \text{cup}
b A LaTex expression showing 7 over 41 \text{cup}
c A LaTex expression showing 3 over 160 \text{cup}
d A LaTex expression showing 7 \text{cup}
6
This paint color needs 1/4 cup of blue for every 1/8 cup of magenta. How many cups of blue is needed if you have 1/6 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 192 \text{cup}
c A LaTex expression showing 3 over 8 \text{cup}
d A LaTex expression showing 9 \text{cup}
7
This sundae needs 7/8 cup of strawberry for every 3/4 cup of chocolate. How many cups of strawberry is needed if you have 1/2 cup of chocolate
An svg image showing a math problem
a A LaTex expression showing 7 over 12 \text{cup}
b A LaTex expression showing 32 over 3 \text{cup}
c A LaTex expression showing 11 over 48 \text{cup}
d A LaTex expression showing 21 over 64 \text{cup}
8
This smoothie needs 1/2 cup of peach for every 3/8 cup of lime. How many cups of peach is needed if you have 3/10 cup of lime
An svg image showing a math problem
a A LaTex expression showing 2 over 5 \text{cup}
b A LaTex expression showing 9 over 160 \text{cup}
c A LaTex expression showing 11 over 20 \text{cup}
d A LaTex expression showing 32 over 3 \text{cup}