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If 3/5 are boys, then 1 - 3/5 = 2/5 of the students are girls. If 2/5 of the students equals 20 girls, then 1/5 of the students is 10. So, the total number of students (5/5) is 5 * 10 = 50.
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In 12/11, 12 is greater than 11.
Fraction of race completed = 3/10 + 2/5 = 3/10 + 4/10 = 7/10. Distance run = (7/10) * 40 km = 7 * 4 = 28 km.
Amount left = 5 - 2 1/4 = 5 - 9/4 = 20/4 - 9/4 = 11/4 meters. As a fraction of the original rope, it's (11/4) / 5 = 11/4 * 1/5 = 11/20.
Total flour used = 3/4 + 1/8 = 6/8 + 1/8 = 7/8 kg. He started with 1 3/4 kg = 7/4 kg = 14/8 kg. Flour left = 14/8 - 7/8 = 7/8 kg.
The fraction 13/26 can be simplified by dividing both numerator and denominator by their greatest common factor, which is 13. This simplifies to 1/2.
To change the denominator from 4 to 28, you multiply by 7. So, multiply the numerator by 7 as well: 3 * 7 = 21. The equivalent fraction is 21/28.
Total votes for Candidate A and B = 2/5 + 1/4 = 8/20 + 5/20 = 13/20. The rest for Candidate C = 1 - 13/20 = 7/20.
To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator and add the numerator: (3 * 5) + 2 = 15 + 2 = 17. Keep the same denominator: 17/5.
Let the other fraction be x. Then (1/3) * x = 5/12. To find x, divide 5/12 by 1/3: x = (5/12) ÷ (1/3) = 5/12 * 3/1 = 15/12 = 5/4.
If 1/3 of the water is drained, then 1 - 1/3 = 2/3 of the current water remains. Remaining water = (2/3) * (3/4) = 6/12 = 1/2 of the tank.
Convert to improper fractions: 1 1/3 = 4/3, 2 1/4 = 9/4. Multiply: (4/3) * (9/4) = (4*9) / (3*4) = 36/12 = 3.
Total ingredients for original recipe = 1/2 + 3/4 = 2/4 + 3/4 = 5/4 cups. Doubling the recipe means 2 * (5/4) = 10/4 = 5/2 = 2 1/2 cups.
Subtract 1/3 from 5/6: 5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2.
Time for Maths = (1/4) * 6 = 1.5 hours. Time for Science = (1/3) * 6 = 2 hours. Total time for Maths and Science = 1.5 + 2 = 3.5 hours. Time left = 6 - 3.5 = 2.5 hours.
Find a common denominator, which is 6. 1/2 = 3/6, 1/3 = 2/6. Sum = 3/6 + 2/6 + 1/6 = 6/6 = 1.
Dividing by a fraction is the same as multiplying by its reciprocal: 2 ÷ (1/4) = 2 * (4/1) = 8.
Total slices eaten or given away = 3 + 4 = 7 slices. Remaining slices = 12 - 7 = 5 slices. So, the fraction left is 5/12.
To compare, find a common denominator, which is 20. 4/5 = 16/20, 7/10 = 14/20, and 3/4 = 15/20. The smallest is 14/20, which is 7/10.
Rohan drinks 1/2 of the 3/5 litres, which is (1/2) * (3/5) = 3/10 litres. The amount left is 3/5 - 3/10 = 6/10 - 3/10 = 3/10 litres.
A mixed fraction consists of a whole number and a proper fraction and can always be converted into an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing it over the original denominator.
Fraction planted = 1/4 (wheat) + 2/4 (maize) = 3/4. Fraction unplanted = 1 - 3/4 = 1/4.
Calculate each: A) 1/2 + 1/4 = 2/4 + 1/4 = 3/4. B) 3/4 - 1/8 = 6/8 - 1/8 = 5/8. C) 1/5 + 3/10 = 2/10 + 3/10 = 5/10 = 1/2. D) 1 - 2/3 = 1/3. Comparing 3/4 (0.75), 5/8 (0.625), 1/2 (0.5), 1/3 (0.33...). The smallest is 1/3.
First, convert 5 1/2 to an improper fraction: 11/2. The reciprocal of 11/2 is 2/11.
Total fraction of red and blue marbles = 1/2 + 1/4 = 2/4 + 1/4 = 3/4. Fraction of green marbles = 1 - 3/4 = 1/4.
Fraction of tank consumed = 1/5. Fraction remaining = 7/10 - 1/5 = 7/10 - 2/10 = 5/10 = 1/2.
To find the fraction halfway between two numbers, add them and divide by 2: (1/4 + 3/4) / 2 = (4/4) / 2 = 1 / 2 = 1/2.
A fraction is equivalent to 1 when its numerator and denominator are the same non-zero number. 3/3 = 1.
Let the number be x. Then x + 3/8 = 7/8. So, x = 7/8 - 3/8 = 4/8 = 1/2.
To find 5/6 of 30, multiply the fraction by the whole number: (5/6) * 30 = (5 * 30) / 6 = 150 / 6 = 25.
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