This math topic focuses on understanding and solving problems related to ratios, specifically equivalent ratios and expansion of recipes using integer multiples of ingredients represented as fractions. It includes practical applications like adjusting quantities in recipes based on given ratios. The problems challenge students to determine the necessary amount of one ingredient when the quantity of another is varied, and are set within real-world contexts such as making paint colors, creating sundaes, or mixing smoothies, enhancing the relevance and applicability of the mathematical concepts taught.

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

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

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Ratios - Equivalent, Expanding Recipes with Integer Multiples - Fractions
1
This smoothie needs 1 5/8 cup of peach for every 1 3/4 cup of lime. How many cups of peach is needed if you have 3 1/2 cup of lime
An svg image showing a math problem
a A LaTex expression showing 31 over 4 \text{cup}
b A LaTex expression showing 43 over 23 \text{cup}
c A LaTex expression showing 95 over 112 \text{cup}
d A LaTex expression showing 134 over 7 \text{cup}
2
This paint color needs 1 3/4 cup of blue for every 1 5/8 cup of magenta. How many cups of blue is needed if you have 4 7/8 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 51 over 4 \text{cup}
b A LaTex expression showing 825 over 32 \text{cup}
c A LaTex expression showing 218 over 13 \text{cup}
d A LaTex expression showing 13221 over 256 \text{cup}
3
This paint color needs 1 cup of blue for every 1 1/8 cup of magenta. How many cups of blue is needed if you have 2 1/4 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 2 \text{cup}
b A LaTex expression showing 41 over 4 \text{cup}
c A LaTex expression showing 14 over 13 \text{cup}
d A LaTex expression showing 17 over 36 \text{cup}
4
This paint color needs 1 3/8 cup of blue for every 1 1/4 cup of magenta. How many cups of blue is needed if you have 3 3/4 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 41 over 8 \text{cup}
b A LaTex expression showing 421 over 37 \text{cup}
c A LaTex expression showing 657 over 128 \text{cup}
d A LaTex expression showing 334 over 5 \text{cup}
5
This sundae needs 1 1/8 cup of strawberry for every 1 1/4 cup of chocolate. How many cups of strawberry is needed if you have 3 3/4 cup of chocolate
An svg image showing a math problem
a A LaTex expression showing 33 over 8 \text{cup}
b A LaTex expression showing 139 over 160 \text{cup}
c A LaTex expression showing 535 over 128 \text{cup}
d A LaTex expression showing 328 over 37 \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 1/4 cup of magenta
An svg image showing a math problem
a A LaTex expression showing 1 over 2 \text{cup}
b A LaTex expression showing 9 over 16 \text{cup}
c A LaTex expression showing 9 \text{cup}
d A LaTex expression showing 9 over 17 \text{cup}
7
This sauce needs 3/8 cup of mustard for every 1/4 cup of ketchup. How many cups of mustard is needed if you have 3/4 cup of ketchup
An svg image showing a math problem
a A LaTex expression showing 11 over 8 \text{cup}
b A LaTex expression showing 13 over 32 \text{cup}
c A LaTex expression showing 13 \text{cup}
d A LaTex expression showing 9 over 128 \text{cup}
8
This sundae needs 1/8 cup of strawberry for every 1/4 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 1 over 4 \text{cup}
b A LaTex expression showing 5 over 17 \text{cup}
c A LaTex expression showing 1 over 64 \text{cup}
d A LaTex expression showing 5 over 16 \text{cup}