1.68 Divided by 0.12 in Fraction Form
Problem: Divide 1.68 by 0.12 and express the result in fraction form.
Step-by-Step Solution:
Convert Decimals to Fractions
First, let's convert the decimals to fractions:
- 1.68 = 168/100 = 42/25 (simplified)
- 0.12 = 12/100 = 3/25 (simplified)
Divide Fractions
Now, we can divide the two fractions:
42/25 ÷ 3/25 = ?
To divide fractions, we can invert and multiply:
- 42/25 ÷ 3/25 = 42/25 × 25/3 = 42 × 25 / 25 × 3 = 1050 / 75
Simplify the Fraction
We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD):
GCD of 1050 and 75 is 25.
- 1050 ÷ 25 = 42
- 75 ÷ 25 = 3
So, the simplified fraction is:
42/3 = 14
Result
Therefore, 1.68 divided by 0.12 in fraction form is 14.
