ultiplying Mixed Numbers as Fractions: 14 2/7 × 4 3/10
When dealing with mixed numbers, it's essential to convert them into improper fractions before performing any operations. In this case, we'll multiply 14 2/7 and 4 3/10 as fractions.
Step 1: Convert Mixed Numbers to Improper Fractions
14 2/7
To convert 14 2/7 into an improper fraction, multiply the whole number part (14) by the denominator (7) and then add the numerator (2).
14 × 7 = 98 98 + 2 = 100
So, 14 2/7 is equal to 100/7.
4 3/10
Similarly, convert 4 3/10 into an improper fraction.
4 × 10 = 40 40 + 3 = 43
So, 4 3/10 is equal to 43/10.
Step 2: Multiply the Fractions
Now that we have the improper fractions, we can multiply them.
100/7 × 43/10
Multiply the numerators (100 and 43) and denominators (7 and 10) separately.
Numerators: 100 × 43 = 4330 Denominators: 7 × 10 = 70
Now, write the product as a fraction: 4330/70.
Step 3: Simplify the Fraction (Optional)
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 4330 and 70 is 10. Divide both numbers by 10:
4330 ÷ 10 = 433 70 ÷ 10 = 7
So, the final answer is: 433/7.
There you have it! The result of multiplying 14 2/7 and 4 3/10 as fractions is 433/7.
