7 1/5 x 1 5/6 as a Fraction
In this article, we will learn how to multiply two mixed numbers, 7 1/5 and 1 5/6, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply two mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
7 1/5
To convert 7 1/5 to an improper fraction, we multiply the whole number part (7) by the denominator (5) and then add the numerator (1):
7 × 5 = 35 35 + 1 = 36
So, 7 1/5 is equal to 36/5.
1 5/6
To convert 1 5/6 to an improper fraction, we multiply the whole number part (1) by the denominator (6) and then add the numerator (5):
1 × 6 = 6 6 + 5 = 11
So, 1 5/6 is equal to 11/6.
Step 2: Multiply the Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them:
36/5 × 11/6
To multiply fractions, we multiply the numerators (36 and 11) and multiply the denominators (5 and 6):
Numerator: 36 × 11 = 396 Denominator: 5 × 6 = 30
So, the result of the multiplication is 396/30.
Step 3: Simplify the Fraction
The resulting fraction 396/30 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 396 and 30 is 6.
Numerator: 396 ÷ 6 = 66 Denominator: 30 ÷ 6 = 5
So, the simplified result of the multiplication is 66/5.
Conclusion
Therefore, 7 1/5 x 1 5/6 as a fraction is equal to 66/5.
