Divide decimals and fractions quick check what is the quoting it when you divide -2 3/5 by 4/5
To divide -2 3/5 by 4/5, we need to convert the mixed number -2 3/5 to an improper fraction.
-2 3/5 can be written as -2 + 3/5. To convert it to an improper fraction, we first multiply the whole number (-2) by the denominator of the fraction (5) and add the numerator (3). This gives us (-2 * 5) + 3 = -10 + 3 = -7.
So, -2 3/5 can be written as -7/5.
Now, we can divide -7/5 by 4/5. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 4/5 is 5/4.
Therefore, (-7/5) / (4/5) = -7/5 * 5/4.
Simplifying this expression, we get:
=(-7 * 5) / (5 * 4)
=(-35) / (20)
Therefore, the quotient when dividing -2 3/5 by 4/5 is -35/20.
To divide the decimal -2 3/5 by the fraction 4/5, follow these steps:
Step 1: Convert the mixed number -2 3/5 into a decimal. To do this, multiply the whole number (-2) by the denominator (5) and add it to the numerator (3). Then, divide the sum by the denominator (5). Let's calculate it:
-2 x 5 + 3 = -10 + 3 = -7
-7 ÷ 5 = -1.4
Step 2: Now we have -1.4 divided by 4/5.
Step 3: To divide by a fraction, multiply by the reciprocal of the fraction. The reciprocal is obtained by swapping the numerator and denominator of the fraction.
The reciprocal of 4/5 is 5/4.
So, multiplying -1.4 by 5/4:
-1.4 x 5/4
= (-1.4 x 5)/(1 x 4) [Multiply the numerators and denominators separately]
= -7/4
Therefore, the result of dividing -2 3/5 by 4/5 is -7/4.