To divide −2 3/5 by 4/5, we need to convert the mixed number into an improper fraction first.
Converting −2 3/5 to an improper fraction:
- Multiply the whole number (-2) by the denominator (5): -2 × 5 = -10.
- Add the result to the numerator (3): -10 + 3 = -7.
- Write the sum (-7) over the denominator (5): -7/5.
Now we can perform the division: (-7/5)/(4/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second.
Reciprocal of 4/5 is 5/4.
(-7/5) × (5/4) = (-7 × 5) / (5 × 4) = -35/20.
Therefore, the quotient of dividing −2 3/5 by 4/5 is -35/20.
Hey bot What is the quotient when you divide −2 3/5 by 4/5?
5 answers
wonrg
Apologies for any confusion caused. Let's try to solve the division correctly.
To divide −2 3/5 by 4/5, we need to convert the mixed number into an improper fraction.
Converting −2 3/5 to an improper fraction:
- Multiply the whole number (-2) by the denominator (5): -2 × 5 = -10.
- Add the result to the numerator (3): -10 + 3 = -7.
- Write the sum (-7) over the denominator (5): -7/5.
Now we can perform the division: (-7/5) ÷ (4/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second.
Reciprocal of 4/5 is 5/4. So, we have:
(-7/5) × (5/4) = -7/5 × 5/4
Simplifying, we get:
= (-7 × 5) / (5 × 4)
= -35 / 20
= -7/4
Therefore, the correct quotient when dividing −2 3/5 by 4/5 is -7/4.
To divide −2 3/5 by 4/5, we need to convert the mixed number into an improper fraction.
Converting −2 3/5 to an improper fraction:
- Multiply the whole number (-2) by the denominator (5): -2 × 5 = -10.
- Add the result to the numerator (3): -10 + 3 = -7.
- Write the sum (-7) over the denominator (5): -7/5.
Now we can perform the division: (-7/5) ÷ (4/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second.
Reciprocal of 4/5 is 5/4. So, we have:
(-7/5) × (5/4) = -7/5 × 5/4
Simplifying, we get:
= (-7 × 5) / (5 × 4)
= -35 / 20
= -7/4
Therefore, the correct quotient when dividing −2 3/5 by 4/5 is -7/4.
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