Question
1 and 3 fifths times negative 3 fourths
Answers
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To multiply 1 and 3/5 by -3/4, we multiply the whole number and the fractional part separately.
The whole number part is 1 multiplied by -3/4, which equals -3/4.
The fractional part is 3/5 multiplied by -3/4. To multiply fractions, we multiply the numerators and the denominators separately.
3/5 * -3/4 = (3 * -3) / (5 * 4) = -9/20
Therefore, 1 and 3/5 times -3/4 equals -3/4 - 9/20.
To add these two fractions, we need to find a common denominator.
The least common multiple of 4 and 20 is 20.
-3/4 is equivalent to -15/20.
-15/20 + -9/20 = -24/20
Simplifying -24/20 gives us:
-24/20 = -6/5
So 1 and 3/5 times -3/4 equals -6/5.
The whole number part is 1 multiplied by -3/4, which equals -3/4.
The fractional part is 3/5 multiplied by -3/4. To multiply fractions, we multiply the numerators and the denominators separately.
3/5 * -3/4 = (3 * -3) / (5 * 4) = -9/20
Therefore, 1 and 3/5 times -3/4 equals -3/4 - 9/20.
To add these two fractions, we need to find a common denominator.
The least common multiple of 4 and 20 is 20.
-3/4 is equivalent to -15/20.
-15/20 + -9/20 = -24/20
Simplifying -24/20 gives us:
-24/20 = -6/5
So 1 and 3/5 times -3/4 equals -6/5.