10 x 5 1/3 as a Fraction in its Simplest Form
When we multiply 10 by a mixed number like 5 1/3, we need to follow the rules of multiplying fractions. In this case, we want to find the result of 10 x 5 1/3 as a fraction in its simplest form.
Step 1: Convert the Mixed Number to an Improper Fraction
First, we need to convert the mixed number 5 1/3 to an improper fraction. To do this, we multiply the whole number part (5) by the denominator (3), then add the numerator (1):
5 × 3 + 1 = 16
So, the mixed number 5 1/3 is equal to the improper fraction:
16/3
Step 2: Multiply 10 by the Improper Fraction
Now, we can multiply 10 by the improper fraction:
10 × 16/3
Step 3: Simplify the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 160 and 3 is 1, so the fraction is already in its simplest form:
160/3
Therefore, 10 x 5 1/3 as a fraction in its simplest form is 160/3.
