Simplifying the Fraction: 19/10 divided by 3/4 as a Mixed Number
To simplify the fraction 19/10 divided by 3/4, we need to follow the rules of fraction division. In this article, we will guide you through the step-by-step process to find the mixed number equivalent.
Step 1: Convert the Division to Multiplication
To divide a fraction by another fraction, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
$\frac{19}{10} \div \frac{3}{4} = \frac{19}{10} \times \frac{4}{3}$
Step 2: Multiply the Fractions
Now, multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately.
$\frac{19}{10} \times \frac{4}{3} = \frac{(19 \times 4)}{(10 \times 3)} = \frac{76}{30}$
Step 3: Simplify the Fraction
We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 76 and 30 is 2.
$\frac{76}{30} = \frac{76 \div 2}{30 \div 2} = \frac{38}{15}$
The Mixed Number Equivalent
To convert the improper fraction to a mixed number, divide the numerator by the denominator.
$\frac{38}{15} = 2 \frac{8}{15}$
Therefore, the simplified mixed number equivalent of 19/10 divided by 3/4 is 2 8/15.
