157/19 multiplied by 102/3 in Fraction Form
The result of 157/19 multiplied by 102/3 is: 280 18/19
Step-by-Step Solution
Step 1: Understand the Problem
We need to multiply the fractions \(\frac15719\) and \(\frac1023\).
Step 2: Multiply the Numerators
Multiply the numerators: 157 × 102 = 16014
Step 3: Multiply the Denominators
Multiply the denominators: 19 × 3 = 57
Step 4: Simplify the Fraction
We can simplify \(\frac1601457\) to its lowest form.
The greatest common divisor (GCD) of 16014 and 57 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac533819\).
Step 5: Convert to Mixed Number
The fraction \(\frac533819\) can be written as the mixed number \(280\frac1819\).
Final Answer
The result of 157/19 multiplied by 102/3 is:
Understanding Fraction Multiplication
How to Multiply Fractions
To multiply fractions, you multiply the numerators together and the denominators together:
\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)
After multiplying, it's always good practice to simplify the fraction to its lowest form.
Why Simplify Fractions?
Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
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