5 1/6 x 2 2/7 as a Fraction
To evaluate the expression 5 1/6 x 2 2/7, we need to convert the mixed numbers to improper fractions and then multiply them.
Converting Mixed Numbers to Improper Fractions
Converting 5 1/6
The mixed number 5 1/6 can be converted to an improper fraction by multiplying the whole number part (5) by the denominator (6) and then adding the numerator (1):
5 × 6 = 30 30 + 1 = 31
So, 5 1/6 = 31/6
Converting 2 2/7
The mixed number 2 2/7 can be converted to an improper fraction by multiplying the whole number part (2) by the denominator (7) and then adding the numerator (2):
2 × 7 = 14 14 + 2 = 16
So, 2 2/7 = 16/7
Multiplying the Fractions
Now that we have the improper fractions, we can multiply them:
31/6 × 16/7
To multiply fractions, we multiply the numerators (31 and 16) and multiply the denominators (6 and 7):
(31 × 16) / (6 × 7) = 496/42
Simplifying the Fraction
The fraction 496/42 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
496 ÷ 2 = 248 42 ÷ 2 = 21
So, 5 1/6 x 2 2/7 = 248/21
Therefore, the result of the expression 5 1/6 x 2 2/7 as a fraction is 248/21.
