Use properties of operations and rules for multiplying signed numbers to multiply −2\5 by 3\10
. Write the answer in simplest form.
To multiply fractions, we simply multiply the numerators and multiply the denominators.
So, to multiply -2\5 by 3\10, we have (-2/5) * (3/10).
Multiplying the numerators, we get: -2 * 3 = -6
Multiplying the denominators, we get: 5 * 10 = 50
So, the answer is -6/50.
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
So, -6/50 simplifies to -3/25.
Multiply 4 by −5\8. Write the answer as a mixed number in simplest form.
To multiply a whole number by a fraction, we can convert the whole number to a fraction by placing it over 1.
So, we have 4 * (-5/8), which is the same as (4/1) * (-5/8).
Multiplying the numerators, we get: 4 * -5 = -20
Multiplying the denominators, we get: 1 * 8 = 8
So, the result is -20/8.
To simplify this fraction, we need to reduce it to its lowest terms. Both -20 and 8 are divisible by 4.
Dividing both the numerator and denominator by 4, we get: (-20/8) ÷ 4 = -5/2
So, the final answer as a mixed number in simplest form is -2 and 1/2.
Multiply 6.5 by 0.3. Write the answer as a decimal
To multiply decimals, we can simply multiply the numbers as if they were whole numbers and then adjust the decimal point in the product.
So, to multiply 6.5 by 0.3, we ignore the decimal point for now and multiply 65 by 3:
65 * 3 = 195
Now, we need to adjust the decimal point. We count the total number of decimal places in the original numbers, which is 1 + 1 = 2.
So, we place the decimal point in the product, starting from the right, counting 2 places: 1.95.
Therefore, the answer is 1.95.
Multiply −19.3 by 6
To multiply a negative number by a positive number, we multiply the absolute values and then assign the product a negative sign.
So, we have (-19.3) * 6.
Multiplying the absolute values, we get: 19.3 * 6 = 115.8
Since we are multiplying a negative number by a positive number, the product is negative.
Therefore, the answer is -115.8.
Multiply −2 1\2 by −1 3\5. Write the answer as a decimal.
To multiply mixed numbers, we first convert them to improper fractions.
-2 1\2 = -5/2
-1 3\5 = -8/5
Now, we multiply the fractions: (-5/2) * (-8/5).
Multiplying the numerators, we get: -5 * -8 = 40.
Multiplying the denominators, we get: 2 * 5 = 10.
So, the product is 40/10.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10, we get: 40/10 = 4/1 = 4.
Therefore, the answer as a decimal is 4.
Multiply 9.6 by 0.2. Write the answer as a decimal.
To multiply decimals, we multiply the numbers as if they were whole numbers and then adjust the decimal point in the product.
So, to multiply 9.6 by 0.2, we ignore the decimal point for now and multiply 96 by 2:
96 * 2 = 192
Now, we need to adjust the decimal point. We count the total number of decimal places in the original numbers, which is 1 + 1 = 2.
So, we place the decimal point in the product, starting from the right, counting 2 places: 1.92.
Therefore, the answer is 1.92.
Multiply 2.6 by −1.3.
To multiply decimals, we can multiply the numbers as if they were whole numbers and then adjust the decimal point in the product.
So, to multiply 2.6 by -1.3, we ignore the decimal point for now and multiply 26 by 13:
26 * 13 = 338
Now, we need to adjust the decimal point. We count the total number of decimal places in the original numbers, which is 1 + 1 = 2. Thus, we place the decimal point in the product, starting from the right, counting 2 places: 3.38.
However, since one of the numbers is negative, the product is negative.
Therefore, the answer is -3.38.
Multiply 3\7 by 9 1\0.
To multiply mixed numbers, we first convert them to improper fractions.
9 1\0 = 91/10 (since any number divided by 0 is undefined)
Now, we multiply the fractions: (3/7) * (91/10).
Multiplying the numerators, we get: 3 * 91 = 273.
Multiplying the denominators, we get: 7 * 10 = 70.
So, the product is 273/70.
However, we can simplify this fraction further.
Finding the greatest common divisor of 273 and 70, we find that it is 7.
Dividing both the numerator and denominator by 7, we get: (273/7) / (70/7) = 39/10.
Therefore, the answer is 39/10, which is equivalent to 3.9 as a decimal.
Multiply 3\7 by 9\10
To multiply fractions, we multiply the numerators and multiply the denominators.
So, to multiply 3\7 by 9\10, we have (3/7) * (9/10).
Multiplying the numerators, we get: 3 * 9 = 27.
Multiplying the denominators, we get: 7 * 10 = 70.
So, the product is 27/70.
Since 27 and 70 have no common factors other than 1, the fraction cannot be simplified further.
Therefore, the answer is 27/70, which is already in its simplest form.
Multiply 4\9 by −3. Write the answer as a mixed number in simplest form.
To multiply a fraction by a whole number, we can convert the whole number to a fraction by placing it over 1.
So, we have (4/9) * (-3/1).
Multiplying the numerators, we get: 4 * -3 = -12.
Multiplying the denominators, we get: 9 * 1 = 9.
So, the result is -12/9.
To simplify this fraction, we need to divide both the numerator and denominator by their greatest common divisor, which is 3.
Dividing both the numerator and denominator by 3, we get: (-12/9) ÷ 3 = -4/3.
Therefore, the final answer as a mixed number in simplest form is -1 and 1/3.
Multiply 2\3 by 1 1\4. Write the answer in simplest form.
To multiply mixed numbers, we first convert them to improper fractions.
1 1\4 = 5/4
Now, we multiply the fractions: (2/3) * (5/4).
Multiplying the numerators, we get: 2 * 5 = 10.
Multiplying the denominators, we get: 3 * 4 = 12.
So, the product is 10/12.
However, we can simplify this fraction further. Finding the greatest common divisor of 10 and 12, we find that it is 2.
Dividing both the numerator and denominator by 2, we get: (10/2) / (12/2) = 5/6.
Therefore, the answer is 5/6, which is already in its simplest form.