Operations with Mixed Numbers
In this article, we will work with mixed numbers and perform operations to evaluate the expression: 1 1/15 x 5 2/5 x 4 7/12
.
Step 1: Convert mixed numbers to improper fractions
To make the calculation easier, let's convert each mixed number to an improper fraction:
1 1/15 = (15 + 1) / 15 = 16 / 15
5 2/5 = (25 + 2) / 5 = 27 / 5
4 7/12 = (48 + 7) / 12 = 55 / 12
Step 2: Multiply the fractions
Now, let's multiply the improper fractions:
(16 / 15) × (27 / 5) × (55 / 12)
To multiply fractions, we multiply the numerators and denominators separately:
Numerator: 16 × 27 × 55 = 23760
Denominator: 15 × 5 × 12 = 900
So, the result of the multiplication is:
23760 / 900
Step 3: Simplify the fraction
We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD):
GCD(23760, 900) = 60
Now, divide both numerator and denominator by 60:
23760 ÷ 60 = 396
900 ÷ 60 = 15
So, the simplified result is:
396 / 15
Final Answer
The final answer is 26 6/15
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