¹/₂ lb
Further explanation
Given:
- Santino bought a [tex]\frac{3}{4}[/tex] pound bag of chocolate chips.
- He used [tex]\frac{2}{3}[/tex] of the bag while baking.
Question:
How many pounds of chocolate chips did he use while baking?
The Process:
After Santino bought a [tex]\frac{3}{4}[/tex] pound bag of chocolate chips, he used [tex]\frac{2}{3}[/tex] of the bag while baking.
We know that the keyword or phrase 'of' is used to describe a common mathematical operation, which is multiplication. It is synonymous with 'the product'.
Let's do a multiplication operation between [tex]\frac{3}{4} \ and \ \frac{3}{4} \ [/tex]. The results are needed to find out how many pounds of chocolate chips did he use while baking.
[tex]\boxed{ \ \frac{3}{4} \times \frac{2}{3} = \ ? \ }[/tex]
Recall that [tex]\boxed{ \ \frac{a}{b} \times \frac{m}{n} = \frac{a \times m}{b \times n} \ }[/tex]
[tex]\boxed{ \ = \frac{3 \times 2}{4 \times 3} \ }[/tex]
[tex]\boxed{ \ = \frac{6}{12} \ }[/tex]
Simplify it. The numerator and denominator are divided by six.
[tex]\boxed{ \ = \frac{1}{2} \ }[/tex]
Thus, he used [tex]\frac{1}{2} \ lb \ }[/tex] of chocolate chips while baking.
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Quick Steps
[tex]\boxed{ \ \frac{3}{4} \times \frac{2}{3} = \ ? \ }[/tex]
We crossed out 3 with 3 and also 4 with 2.
[tex]\boxed{ \ = \frac{1}{2} \times \frac{1}{1} \ }[/tex]
[tex]\boxed{\boxed{ \ \frac{1}{2} \ lb \ }}[/tex]
In a decimal,
[tex]\boxed{ \ \frac{1 \times 5}{2 \times 5} = \ ? \ }[/tex]
[tex]\boxed{ \ = \frac{5}{10} \ }}[/tex]
[tex]\boxed{\boxed{ \ 0.5 \ lb \ }}[/tex]
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Keywords: Santino, bought a 3/4 pound, bag of chocolate chips, he used, 2/3, while baking, how many, while, 1/2 lb, 0.5, the numerator and denominator, multiplication operation
