He shaded \(\frac{1}{3}\) of one rectangle and \(\frac{1}{4}\) of another rectangle. What is the least number of parts into which both rectangles could be divided?

Rectangle 1: 1/3 shaded
Rectangle 2: 1/4 shaded
First you have to look through each denominators multiples to find the lowest common denominator (LCD).
Multiples of 3: 3, 6, 9, 12, 15
Multiples of 4: 4, 8, 12, 16, 20
As you can see, both numbers are multiples of 12.
Rectangle 1: 1/3 shaded= 4/12 shaded
Rectangle 2: 1/4 shaded= 3/12 shaded
I made equivalent fractions by multiplying both the numerator and the denominator by the same number.
The least number of parts which both rectangles can be divided is 12.
Hope this helped :)

Answered by daniellemajor2 | 2024-06-10

The least number of parts into which both rectangles can be divided is 12. This is found by determining the least common multiple of the denominators 3 and 4. Each rectangle can be divided into 12 equal parts, allowing the fractions to be represented correctly.
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Answered by daniellemajor2 | 2024-10-30