Question

1 7/8•2 2/5 и 2 2/21•3 1/2

Answer 1

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Answer 2

To multiply the mixed numbers, you need to convert them to improper fractions and then perform the multiplication. Let's go step by step.

1 7/8 can be written as an improper fraction: 1 7/8 = (8 * 1 + 7)/8 = 15/8

2 2/5 can be written as an improper fraction: 2 2/5 = (5 * 2 + 2)/5 = 12/5

2 2/21 can be written as an improper fraction: 2 2/21 = (21 * 2 + 2)/21 = 44/21

3 1/2 can be written as an improper fraction: 3 1/2 = (2 * 3 + 1)/2 = 7/2

Now, let's multiply the two fractions:

(15/8) * (12/5) = (15 * 12)/(8 * 5) = 180/40

(44/21) * (7/2) = (44 * 7)/(21 * 2) = 308/42

So the expression 1 7/8 * 2 2/5 * 2 2/21 * 3 1/2 equals:

(180/40) * (308/42)

Now, we can simplify the fractions and multiply:

180/40 can be simplified by dividing both the numerator and denominator by 20: 180/40 = (180/20) / (40/20) = 9/2

308/42 can be simplified by dividing both the numerator and denominator by 14: 308/42 = (308/14) / (42/14) = 22/3

Now we can multiply the simplified fractions:

(9/2) * (22/3) = (9 * 22)/(2 * 3) = 198/6

Finally, we can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

198/6 = (198/6) / (6/6) = 33/1 = 33

Therefore, 1 7/8 * 2 2/5 * 2 2/21 * 3 1/2 equals 33.