1.

(-(-4) divided by (-2))+31+31 in to 1/2​

Answer»

STEP-by-step explanation:

Conversion a mixed number 7 3/

4

to a improper fraction: 7 3/4 = 7 3/

4

= 7 · 4 + 3/

4

= 28 + 3/

4

= 31/

4

To find new numerator:

a) MULTIPLY the WHOLE number 7 by the DENOMINATOR 4. Whole number 7 equally 7 * 4/

4

= 28/

4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Divide: 31/

4

: 2 = 31/

4

· 1/

2

= 31 · 1/

4 · 2

= 31/

8

Dividing TWO fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

1

is 1/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-one quarters divided by two = thirty-one eighths.


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