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Lyrx [107]
3 years ago
13

What is 4 2/7 ⋅ 2 1/5 ?

Mathematics
2 answers:
Solnce55 [7]3 years ago
4 0

Answer:

The answer is 9 3/7

Step-by-step explanation:

Vikki [24]3 years ago
3 0

Answer: 9 and 3/7

Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.

We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.

We can change 4\frac{2}{7} to the improper fraction 30/7.

We can also change 2\frac{1}{5} to the improper fraction 11/5.

Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.

Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.

66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.

Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7

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~

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