1 3/4 times 5/12 as a Fraction
In this article, we will explore how to multiply mixed numbers, specifically 1 3/4 times 5/12 as a fraction.
Converting Mixed Numbers to Improper Fractions
To multiply 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.
Converting 1 3/4 to an Improper Fraction
To convert 1 3/4 to an improper fraction, we need to multiply the whole number part (1) by the denominator (4), then add the numerator (3).
1 3/4 = (1 × 4) + 3 = 7/4
Converting 5/12 to an Improper Fraction
Since 5/12 is already a fraction, we don't need to convert it.
Multiplying the Fractions
Now that we have the improper fractions, we can multiply them.
(7/4) × (5/12) = ?
To multiply fractions, we multiply the numerators (7 and 5) and multiply the denominators (4 and 12), then simplify the fraction.
(7 × 5) / (4 × 12) = 35/48
Simplifying the Fraction
The resulting fraction 35/48 is already in its simplest form.
Conclusion
1 3/4 times 5/12 as a fraction is equal to 35/48.
