(1/2+3/4) of 4/5÷2/9×3/8-1½+2
Answers
Answer:
(1/2+3/4) of 4/5÷2/9×3/8-1½+2= 2.1875
Step-by-step explanation:
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Step-by-step explanation:
2/3 : 4 3/8 = 8/21 ≅ 0.3809524
Spelled result in words is eight twenty-firsts.
How do you solve fractions step by step?
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.