# How many inches are in 1 2/5 groups of 1 2/3

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## 1 2/5 = 7/5

1 2/3 = 5/3

7/5 * 5/3 = 7/3 = 2 1/3

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## To find the number of inches in 1 2/5 groups of 1 2/3, we need to perform the following steps:

Step 1: Convert 1 2/5 into an improper fraction.
To convert 1 2/5 into an improper fraction, multiply the whole number (1) by the denominator (5) and add the numerator (2). This gives us (1*5 + 2)/5 = 7/5.

Step 2: Convert 1 2/3 into an improper fraction.
To convert 1 2/3 into an improper fraction, multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us (1*3 + 2)/3 = 5/3.

Step 3: Multiply the two fractions.
To multiply fractions, multiply the numerators together and multiply the denominators together. This gives us (7/5) * (5/3) = (7*5) / (5*3) = 35/15.

Step 4: Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it. In this case, the GCD of 35 and 15 is 5. Dividing both by 5 gives us 7/3.

So, there are 7/3 inches in 1 2/5 groups of 1 2/3.

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## To determine how many inches are in 1 2/5 groups of 1 2/3, we need to perform some mathematical operations.

Let's break it down step by step:

1. Begin by converting the mixed numbers to improper fractions.
1 2/5 = (5 * 1 + 2) / 5 = 7 / 5
1 2/3 = (3 * 1 + 2) / 3 = 5 / 3

2. Next, multiply the two fractions. To multiply fractions, you simply multiply the numerators together and the denominators together.
(7/5) * (5/3) = (7 * 5) / (5 * 3) = 35 / 15

3. Simplify the resulting fraction if possible. In this case, we can simplify by dividing both the numerator and denominator by their greatest common divisor, which is 5.
(35/5) / (15/5) = 7/3

4. Finally, convert the improper fraction back to a mixed number.
7/3 = 2 1/3

Therefore, 1 2/5 groups of 1 2/3 is equivalent to 2 1/3 inches.