(2/5+ 5/9) of 9/11÷5/6x4/5 - 2/5
Answers
Answer:
1. Add: 2/5 + 5/9
= 2 · 9/5 · 9 + 5 · 5/9 · 5
= 18/45 + 25/45
= 18 + 25/45
= 43/45
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, 9) = 45. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 9 = 45. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - two fifths plus five ninths = forty-three forty-fifths.
Multiple: the result of step No. 1 * 9/11
= 43/45* 9/11
= 43 · 9/45 · 11
= 387/495
= 43 · 9/55 · 9
= 43/55
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(387, 495) = 9. In the next intermediate step, , cancel by a common factor of 9 gives 43/
55
.
In words - forty-three forty-fifths multiplied by nine elevenths = forty-three fifty-fifths.
Divide: the result of step No. 2 : 5/6
= 43/55 : 5/6
= 43/55 · 6/5
= 43 · 6/55 · 5
= 258/275
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 5/6 is 6/5) 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 - forty-three fifty-fifths divided by five sixths = two hundred fifty-eight two-hundred seventy-fifths.
Multiple: the result of step No. 3 * 4/5
= 258/275 * 4/5
= 258 · 4/275 · 5
= 1032/1375
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(1032, 1375) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - two hundred fifty-eight two-hundred seventy-fifths multiplied by four fifths = one thousand thirty-two one-thousand three-hundred seventy-fifths.
Subtract: the result of step No. 4 - 2/5
= 1032/1375 - 2/5
= 1032/1375 - 2 · 275/5 · 275
= 1032/1375
- 550/1375
= 1032 - 550/1375
= 482/1375
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(1375, 5) = 1375. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1375 × 5 = 6875. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one thousand thirty-two one-thousand three-hundred seventy-fifths minus two fifths = four hundred eighty-two one-thousand three-hundred seventy-fifths.
