2 5/6 Divided by 3/10 as a Fraction
To divide mixed numbers or fractions, we need to follow the standard procedure for division. In this case, we want to divide 2 5/6 by 3/10 as a fraction.
Step 1: Convert Mixed Number to Improper Fraction
First, we need to convert the mixed number 2 5/6 to an improper fraction. To do this, we multiply the whole number part (2) by the denominator (6) and then add the numerator (5).
2 × 6 = 12 12 + 5 = 17
So, the improper fraction equivalent to 2 5/6 is:
17/6
Step 2: Divide the Fractions
Now, we can divide the fractions:
17/6 ÷ 3/10
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
17/6 × 10/3
Step 3: Multiply the Fractions
Now, we multiply the numerators and denominators:
(17 × 10) / (6 × 3) = 170 / 18
Step 4: Simplify the Fraction
Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 170 and 18 is 2.
170 ÷ 2 = 85 18 ÷ 2 = 9
So, the result of dividing 2 5/6 by 3/10 as a fraction is:
85/9
Therefore, 2 5/6 divided by 3/10 as a fraction is equal to 85/9.
