A recipe requires 2/3 cup of sugar. If you want to make half the recipe, how much sugar do you need?

A recipe requires 2/3 cup of sugar. If you want to make half the recipe, how much sugar do you need?

• A. 1/4 cup
• B. 1/3 cup
• C. 2/3 cup
• D. 1 cup

Answer: (B)

To determine the amount of sugar needed for half the recipe, you start with the original measurement of sugar, which is 2/3 cup. To find half of this amount, you multiply it by 1/2. The calculation involves multiplying the fraction: \[ \frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} \] Next, simplify the fraction 2/6. Both numerator and denominator can be divided by 2: \[ \frac{2 \div 2}{6 \div 2} = \frac{1}{3} \] Thus, half of 2/3 cup of sugar is 1/3 cup. This value makes sense within the context of the recipe, ensuring that when adjusting for smaller portions, the taste and texture remain consistent. Taking half the original quantity is crucial for accurately scaling recipes without compromising the final product's quality.

To determine the amount of sugar needed for half the recipe, you start with the original measurement of sugar, which is 2/3 cup. To find half of this amount, you multiply it by 1/2.

The calculation involves multiplying the fraction:

[

\frac{2}{3} \times \frac{1}{2} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6}

]

Next, simplify the fraction 2/6. Both numerator and denominator can be divided by 2:

[

\frac{2 \div 2}{6 \div 2} = \frac{1}{3}

]

Thus, half of 2/3 cup of sugar is 1/3 cup. This value makes sense within the context of the recipe, ensuring that when adjusting for smaller portions, the taste and texture remain consistent. Taking half the original quantity is crucial for accurately scaling recipes without compromising the final product's quality.