Converting Mixed Numbers to Fraction Form: 10 1/2 x 15 1/8
In mathematics, converting mixed numbers to fraction form is an essential skill. In this article, we will explore how to convert the mixed numbers 10 1/2 and 15 1/8 to fraction form, and then multiply them together.
Converting 10 1/2 to Fraction Form
To convert the mixed number 10 1/2 to fraction form, we need to follow these steps:
- Multiply the whole number part (10) by the denominator (2): 10 × 2 = 20
- Add the numerator (1) to the product: 20 + 1 = 21
- Write the result as an improper fraction: 21/2
Converting 15 1/8 to Fraction Form
To convert the mixed number 15 1/8 to fraction form, we need to follow these steps:
- Multiply the whole number part (15) by the denominator (8): 15 × 8 = 120
- Add the numerator (1) to the product: 120 + 1 = 121
- Write the result as an improper fraction: 121/8
Multiplying the Fraction Forms
Now that we have converted both mixed numbers to fraction form, we can multiply them together:
(21/2) × (121/8) = ?
To multiply fractions, we multiply the numerators (21 × 121 = 2541) and denominators (2 × 8 = 16), then write the result as a fraction:
2541/16
Therefore, the product of 10 1/2 and 15 1/8 in fraction form is 2541/16.
