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 the fractions −2/5 and 3/10, we can multiply the numerators and the denominators.
So, multiplying the numerators (-2) and (3) gives -2 * 3 = -6, and multiplying the denominators (5) and (10) gives 5 * 10 = 50.
Therefore, the product of -2/5 and 3/10 is -6/50.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor. The greatest common divisor of 6 and 50 is 2.
Dividing -6 by 2 gives -6/2 = -3, and dividing 50 by 2 gives 50/2 = 25.
So, the simplified form of -6/50 is -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 as -6/50.
However, this fraction is not in its simplest form. To simplify, you need to find the greatest common divisor (GCD) of the numerator and denominator, which is 2.
Step 4: Divide both the numerator and denominator by the GCD: -6 ÷ 2 = -3 and 50 ÷ 2 = 25.
Therefore, the simplified answer is -3/25.
To multiply two fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
In this case, to multiply -2/5 by 3/10, you multiply the numerators: -2 × 3 = -6. Then multiply the denominators: 5 × 10 = 50.
Therefore, the product of -2/5 and 3/10 is -6/50.
To simplify this fraction, we need to find the greatest common factor (GCF) of -6 and 50. The GCF of -6 and 50 is 2.
Dividing both the numerator and denominator by 2, we get -6/50 = -3/25.
So the product of -2/5 and 3/10, written in simplest form, is -3/25.