Dividing Mixed Numbers: 1 1/4 Divided by 4 7/8
Dividing mixed numbers might seem daunting, but it's actually a straightforward process once you break it down. Let's tackle the division of 1 1/4 by 4 7/8.
Converting to Improper Fractions
The first step is to convert both mixed numbers into improper fractions.
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1 1/4: Multiply the whole number (1) by the denominator (4), and add the numerator (1). This gives us 5. Keep the same denominator. So, 1 1/4 becomes 5/4.
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4 7/8: Multiply the whole number (4) by the denominator (8), and add the numerator (7). This gives us 39. Keep the same denominator. So, 4 7/8 becomes 39/8.
Dividing Fractions
Now we have: (5/4) ÷ (39/8)
To divide fractions, we invert the second fraction and multiply.
This becomes: (5/4) x (8/39)
Multiplying Fractions
Multiply the numerators and the denominators:
(5 x 8) / (4 x 39) = 40/156
Simplifying the Fraction
We can simplify this fraction by dividing both numerator and denominator by their greatest common factor, which is 4.
40 / 4 = 10 156 / 4 = 39
Therefore, 1 1/4 divided by 4 7/8 is 10/39.