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5 1/4 divided by 3 3/8

User Ashkay
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Final answer:

To divide the mixed numbers 5 1/4 by 3 3/8, we convert them to improper fractions, perform the division by multiplying with the reciprocal, and then simplify the resulting fraction to get 1 5/9.

Step-by-step explanation:

The question 5 1/4 divided by 3 3/8 is a mathematics problem involving division of mixed numbers.

To solve this, we must first convert the mixed numbers to improper fractions. 5 1/4 is the same as 21/4,

since 5 * 4 + 1 = 21.

Similarly, 3 3/8 is the same as 27/8, since 3 * 8 + 3 = 27.

Now, we have 21/4 ÷ 27/8.

To divide fractions, we multiply by the reciprocal of the divisor, which means we'll multiply 21/4 by 8/27.

Thus, 21/4 * 8/27 = (21 * 8)/(4 * 27) which simplifies to 168/108.

Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, we get 14/9 or 1 5/9 when converted back to a mixed number.

User Fredmat
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