2-3[3÷2-{8-2(3÷4)}]= *
Answers
Answer:
1 2/3 : 4 3/8 = 8
21≅ 0.3809524
Step-by-step explanation:
Conversion a mixed number 1 2
3
to a improper fraction: 1 2/3 = 1 2
3
= 1 · 3 + 2
3
= 3 + 2
3
= 5
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3
3
= 3
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 4 3
8
to a improper fraction: 4 3/8 = 4 3
8
= 4 · 8 + 3
8
= 32 + 3
8
= 35
8
To find new numerator:
a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8
8
= 32
8
b) Add the answer from previous step 32 to the numerator 3. New numerator is 32 + 3 = 35
c) Write a previous answer (new numerator 35) over the denominator 8.
Four and three eighths is thirty-five eighths
Divide: 5
3
: 35
8
= 5
3
· 8
35
= 5 · 8
3 · 35
= 40
105
= 5 · 8
5 · 21
= 8
21
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 35
8
is 8
35
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 5 gives 8
21
.
In words - five thirds divided by thirty-five eighths = eight twenty-firsts.