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What is the product of -4 and 2 3/5​

1 Answer

5 votes

Answer:

6 3/

5

= 6.6

Explanation:

Conversion a mixed number 2 3/

5

to a improper fraction: 2 3/5 = 2 3/

5

= 2 · 5 + 3/

5

= 10 + 3/

5

= 13/

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/

5

= 10/

5

b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13

c) Write a previous answer (new numerator 13) over the denominator 5.

Two and three fifths is thirteen fifths

Add: 4 + 13/

5

= 4/

1

+ 13/

5

= 4 · 5/

1 · 5

+ 13/

5

= 20/

5

+ 13/

5

= 20 + 13/

5

= 33/

5

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - four plus thirteen fifths = thirty-three fifths.

User Chris Gilardi
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