Simplyfy:6 3/7of[3-{3\5+(5/18÷2/3-1/2×3/5)]}
Answers
Answer:
Divide: 5/ 18 : 2/ 3 = 5/ 18 · 3/ 2 = 5 · 3/ 18 · 2 = 15/ 36 = 3 · 5/ 3 · 12 = 5/ 12
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/ 3 is 3/ 2 ) 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 3 gives 5/ 12 .
In words - five eighteenths divided by two thirds = five twelfths.
Multiple: 1/ 2 * 3/ 5 = 1 · 3/ 2 · 5 = 3/ 10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 10) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half multiplied by three fifths = three tenths.
Subtract: the result of step No. 1 - the result of step No. 2 = 5/ 12 - 3/ 10 = 5· 5/ 12 · 5 - 3 · 6/ 10 · 6 = 25/ 60 - 18/ 60 = 25 - 18/ 60 = 7/ 60
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 both denominators - LCM(12, 10) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 10 = 120. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five twelfths minus three tenths = seven sixtieths.
Add: 3/ 5 + the result of step No. 3 = 3/
5 + 7/ 60 = 3 · 12/ 5 · 12 + 7/ 60 = 36/ 60 + 7/ 60 = 36 + 7/ 60 = 43/ 60
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 both denominators - LCM(5, 60) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 60 = 300. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - three fifths plus seven sixtieths = forty-three sixtieths.
Subtract: 3 - the result of step No. 4 = 3 - 43/ 60 = 3/ 1 - 43/ 60 = 3 · 60/ 1 · 60 - 43/ 60 = 180/ 60 - 43/ 60 = 180 - 43/ 60 = 137/ 60
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 both denominators - LCM(1, 60) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 60 = 60. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - three minus forty-three sixtieths = one hundred thirty-seven sixtieths.
Conversion a mixed number 6 3/ 7
to a improper fraction: 6 3/7 = 6 3/ 7 = 6 · 7 + 3/ 7 = 42 + 3/ 7 = 45/ 7
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7/ 7 = 42/ 7
b) Add the answer from previous step 42 to the numerator 3. New numerator is 42 + 3 = 45
c) Write a previous answer (new numerator 45) over the denominator 7.
Six and three sevenths is forty-five sevenths Multiple: 45/ 7 * the result of step No. 5 = 45/ 7 * 137/ 60 = 45 · 137/ 7 · 60 = 6165/ 420 = 411 · 15/ 28 · 15 = 411/ 28
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6165, 420) = 15. In the next intermediate step, , cancel by a common factor of 15 gives 411/
28
In words - forty-five sevenths multiplied by one hundred thirty-seven sixtieths = four hundred eleven twenty-eighths.
hope you understand this
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Step-by-step explanation:
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