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 multiply the numerators and multiply the denominators.
The multiplication of the numerators is -2 * 3 = -6.
The multiplication of the denominators is 5 * 10 = 50.
Thus, -2/5 multiplied by 3/10 is -6/50.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which in this case is 2.
-6 divided by 2 is -3.
50 divided by 2 is 25.
So, -2/5 multiplied by 3/10 simplifies to -3/25.
To multiply -2/5 by 3/10, follow these steps:
Step 1: Multiply the numerators: -2 * 3 = -6.
Step 2: Multiply the denominators: 5 * 10 = 50.
Step 3: Write the product -6/50 in simplest form.
Step 4: Simplify the fraction by dividing the numerator and denominator by their greatest common factor.
The greatest common factor (GCF) of 6 and 50 is 2.
Dividing both the numerator and denominator by 2 gives us: -6/50 = -3/25.
Therefore, the product of -2/5 and 3/10 is -3/25 in simplest form.
To understand how to multiply -2/5 by 3/10, let's start by using the rules for multiplying signed numbers.
The rule for multiplying two fractions is as follows:
(a/b) * (c/d) = (a * c) / (b * d)
Now, let's apply this rule to multiply -2/5 by 3/10:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10)
Performing the multiplication in the numerator and denominator, we have:
-6 / 50
Now, we simplify the fraction. To simplify a fraction, we divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of -6 and 50 is 2. So, let's divide both -6 and 50 by 2:
-6 / 50 = (-6 ÷ 2) / (50 ÷ 2) = -3 / 25
Therefore, the product of -2/5 and 3/10 is -3/25 in simplest form.