There are 12 tablespoons in 3/4 cup (US customary unit).
Here's why:
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There are standard conversion rates for cups and tablespoons:
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We can set up a proportion to find the unknown number of tablespoons in 3/4 cup:
Unknown tablespoons / 3/4 cup = 16 tablespoons / 1 cup
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To simplify the math, we can multiply the top and bottom of the fraction on the right (1 cup) by 4 to get the same denominator (cups) as the fraction on the left (3/4 cup):
Unknown tablespoons / 3/4 cup = 16 tablespoons / (1 cup * 4/4)
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This becomes:
Unknown tablespoons / 3/4 cup = 16 tablespoons / 4 cups
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Simplifying further by dividing the numerator and denominator on the right by 4, we get:
Unknown tablespoons / 3/4 cup = 4 tablespoons / 1 cup
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Since 1 cup is equivalent to 16 tablespoons, 4 tablespoons is also equal to (4 tablespoons / 1 cup) * (16 tablespoons/cup):
Unknown tablespoons / 3/4 cup = (4 tablespoons / 1 cup) * (16 tablespoons/cup)
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This simplifies to:
Unknown tablespoons / 3/4 cup = 64 tablespoons / 4 cup
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Inspecting the right side, we see that the "cups" units cancel out, and we're left with:
Unknown tablespoons / 3/4 = 64 tablespoons
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Finally, to isolate the number of tablespoons, we multiply both sides by 3/4:
Unknown tablespoons = 64 tablespoons * (3/4)
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Performing the multiplication:
Unknown tablespoons = 48 tablespoons / 4
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