-5/8 divided by -2/3
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is found by swapping the numerator and the denominator.
So, the reciprocal of -2/3 is -3/2.
Now, let's solve the division:
-5/8 ÷ -2/3
This is equivalent to (-5/8) * (-3/2).
Now, multiply the numerators together: -5 * -3 = 15.
And multiply the denominators together: 8 * 2 = 16.
Therefore, -5/8 ÷ -2/3 = 15/16.
-71.24 divided by 0.4
To divide a decimal by another decimal, perform regular division as you would with whole numbers and then place the decimal point in the quotient.
Let's solve -71.24 ÷ 0.4:
178.10 <-- Multiply the dividend by 10 to move the decimal point over.
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0.40 │ -71.24
70.80 <-- Subtract the product, place result below.
──────
0.44 <-- Multiply the new dividend by 10.
-0.40 <-- Subtract, place result below.
──────
0.04 <-- Multiply the new dividend by 10.
-0.04 <-- Subtract, place result below.
──────
0 <-- No more decimal places to bring down.
The final quotient is 178.10.
Therefore, -71.24 ÷ 0.4 = 178.10.
-18.42 divided by -1.2
To divide a decimal by another decimal, perform regular division as you would with whole numbers and then place the decimal point in the quotient.
Let's solve -18.42 ÷ -1.2:
1842 --> Multiply both the dividend and divisor by 100 to get rid of the decimal point.
────────
-12 │ -1842
144 --> Divide, place result below.
────
-42 --> Subtract, place result below.
────
24 --> Divide, place result below.
────
0 --> No more decimal places to bring down.
The final quotient is 15.
Therefore, -18.42 ÷ -1.2 = 15.
-10/11 divided -2/5
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of -2/5 is -5/2.
Now, let's solve the division:
-10/11 ÷ -2/5
This is equivalent to (-10/11) * (-5/2).
Now, multiply the numerators together: -10 * -5 = 50.
And multiply the denominators together: 11 * 2 = 22.
Therefore, -10/11 ÷ -2/5 = 50/22.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
50/22 simplifies to 25/11.
Therefore, -10/11 ÷ -2/5 = 25/11.