118/154 multiplied by 7/3 in Fraction Form

The result of 118/154 multiplied by 7/3 is: 1 26/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 118154 and 73.

Step 2: Multiply the Numerators

Multiply the numerators: 118 × 7 = 826

Step 3: Multiply the Denominators

Multiply the denominators: 154 × 3 = 462

Step 4: Simplify the Fraction

We can simplify 826462 to its lowest form.
The greatest common divisor (GCD) of 826 and 462 is 14.
Dividing both numerator and denominator by the GCD, we get 5933.

Step 5: Convert to Mixed Number

The fraction 5933 can be written as the mixed number 12633.

Final Answer

The result of 118/154 multiplied by 7/3 is:

118154×73=12633

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×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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