Simplifying Fractions: 1 1/4 x 5/6 in Fraction Form
When working with fractions, it's essential to understand how to multiply and simplify them to get the correct answer. In this article, we'll explore how to multiply 1 1/4 by 5/6 and simplify the result in fraction form.
Step 1: Convert Mixed Numbers to Improper Fractions
To start, we need to convert the mixed number 1 1/4 to an improper fraction. To do this, we'll multiply the whole number part (1) by the denominator (4) and then add the numerator (1):
1 1/4 = (1 × 4) + 1 = 5/4
Step 2: Multiply the Fractions
Now we can multiply the two fractions:
(5/4) × (5/6) = ?
To multiply fractions, we multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately:
Numerators: 5 × 5 = 25 Denominators: 4 × 6 = 24
So, the resulting fraction is:
25/24
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 25 and 24 is 1, so the fraction is already in its simplest form:
25/24
Therefore, the result of multiplying 1 1/4 by 5/6 in fraction form is 25/24.
