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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What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4

shutvik [7]

I assume you mean to ask how to find the sum of the seven terms?

You have

$a_2=ra_1$
$a_3=ra_2=r^2a_1$
$a_4=ra_3=r^3a_1$
...
$a_7=ra_6=r^6a_1$

So the sum is

$a_1+ra_1+r^2a_1+\cdots+r^6a_1=a_1(1+r+r^2+\cdots+r^6)=a_1\times\dfrac{1-r^7}{1-r}$

You know that $a_1=-11$ and $r=-4$ , so the sum is equal to

$-4\times\dfrac{1-(-4)^7}{1-(-4)}=-13108$