ADDITION OF FRACTIONS

On a bright day in the year 3023, Ethan, a young inventor, decided to set up a futuristic drink stand with a high-tech water dispenser filled with a special mauby concentrate from the latest food tech lab. He carefully poured in 2/9 of the dispenser with this innovative mauby concentrate, and then added 11/18 of the dispenser with purified water from the advanced filtration system to create the perfect blend. Can you help Ethan figure out what TOTAL FRACTION of the dispenser is now filled with this tasty liquid?

• 11/9

• 15/18

• 21/18

• 7/18

Answer explanation

Ethan added 2/9 of mauby and 11/18 of water. To find the total, convert 2/9 to 4/18. Adding 4/18 + 11/18 gives 15/18. Thus, the total fraction of the dispenser filled is 15/18.

In a vibrant future city, Priya and her friends witnessed a dazzling parade where a team showcased futuristic hats embellished with glowing streamers! The red ribbon measured 1/3 meter in length, while the blue ribbon sparkled at an impressive 7/12 meter long. Can you assist Priya in calculating the TOTAL LENGTH of the red and blue ribbons combined in each set?

• n

• lk

• ou

• \

Answer explanation

To find the total length of the ribbons, add 1/3 meter and 7/12 meter. Convert 1/3 to 4/12, then 4/12 + 7/12 = 11/12 meters. The correct answer is 'ou', representing the total length.

On a bright Monday in the year 3023, Jack, a tech-savvy individual, decided to treat himself and spent 1/8 of his digital currency. Then, during the exhilarating weekend in the virtual reality world, he splurged even more, using up 5/8 of his total cash! Now, if his friends Anika, Harper, and David are curious, they want to know: How much of his money did Jack spend ALTOGETHER?

• rghr

• rgwr

• rgegr

• rhgerg

Answer explanation

Jack spent 1/8 of his money on Monday and 5/8 during the weekend. Altogether, he spent 1/8 + 5/8 = 6/8 = 3/4 of his total cash. The correct answer is 'rgwr', which represents this total spending.

In a futuristic world where knowledge is power, our dedicated friends Harry and Noah are on a mission to master their studies! Harry spends an impressive 3 1/4 hours each day immersed in his holographic textbooks, while Noah dedicates 1 2/3 hours to his virtual reality learning sessions. Can you calculate how many hours they study ALTOGETHER?

• rghr

• rgwr

• rgegr

• rhgerg

Answer explanation

To find the total study time, convert the mixed numbers to improper fractions: Harry: 13/4 hours, Noah: 5/3 hours. Find a common denominator (12), then add: (39/12 + 20/12 = 59/12). This equals 4 11/12 hours, confirming the answer is rgwr.

At the Galactic Celebration on Planet Zorax, there were 8 3/4 liters of zesty orange juice harvested from the Solar Orchards and 6 2/3 liters of refreshing lemonade created from the Crystal Springs. Can you help Rohan figure out how many liters of delicious drinks were there ALTOGETHER?

• rghr

• rgwr

• rgegr

• rhgerg

Answer explanation

To find the total liters of drinks, convert the mixed numbers to improper fractions: 8 3/4 = 35/4 and 6 2/3 = 20/3. Find a common denominator (12), then add: (35/4)*(3/3) + (20/3)*(4/4) = 105/12 + 80/12 = 185/12 = 15 5/12 liters. The correct answer is rgwr.

In the year 3023, Abigail was thrilled to create something stunning with her holographic ribbons! She had 2 pieces to work with. One piece was a vibrant 6 1/5 inches long, glowing with neon colors, and the other was a lovely 3 7/10 inches, shimmering with a metallic finish. Can you help Abigail find out the TOTAL length of her ribbons combined?

• rghr

• rgwr

• rgegr

• rhgerg

Answer explanation

To find the total length of Abigail's ribbons, convert the mixed numbers to improper fractions: 6 1/5 = 31/5 and 3 7/10 = 37/10. Find a common denominator (10), then add: (62/10) + (37/10) = 99/10 = 9 9/10 inches. The correct answer is rgwr.

In the year 3023, David and Luna are competing in a high-tech math challenge aboard a space station! Can you help them solve this challenge? What is the sum of 4 7/8 and 5 1/12?

• rgrg

• rgwr

• erg

• gerg

Answer explanation

To find the sum of 4 7/8 and 5 1/12, convert to improper fractions: 4 7/8 = 39/8 and 5 1/12 = 61/12. Find a common denominator (24), then add: (39/8)*(3/3) + (61/12)*(2/2) = 117/24 + 122/24 = 239/24 = 9 23/24. The correct answer is 'gerg'.

Greetings, future mathematicians! 🌌 Can you assist Nora in solving this intriguing puzzle from the year 3023? What do you get when you combine 7 2/3 light-years and 6 3/5 star units? Let's see if you can unravel this cosmic challenge!

• rgrg

• rgwr

• erg

• gerg

Answer explanation

To add 7 2/3 and 6 3/5, convert them to improper fractions: 23/3 and 33/5. Find a common denominator (15), convert, and add: (115/15 + 99/15 = 214/15). This simplifies to 14 4/15, which matches the answer 'gerg'.

In a futuristic world where height measurement is done with advanced holographic technology, meet Asha and Delia, two friends who love to compare their heights! Asha stands tall at 1 1/3 meters, while her friend Delia is just a bit shorter at 1 3/8 meters. Can you help them find out what their TOTAL height is when they stand together in the holographic display?

• tyitktuk

• thetg

• rgerg

• gerge

Answer explanation

To find the total height, convert Asha's height (1 1/3 = 4/3) and Delia's height (1 3/8 = 11/8) to a common denominator (24). Asha's height is 8/6 and Delia's is 33/24. Adding them gives 41/24 meters, which is approximately 1.71 meters. The correct answer is 'gerge'.

In the year 3023, Abigail and Aiden are on their way to their futuristic school aboard hoverboards! Abigail glides 3/10 of a kilometer, while Aiden zooms a bit further, covering 5/10 of a kilometer. Can you figure out how far they both traveled ALTOGETHER?

• knp

• bjkb

• juboub

• vujb

Answer explanation

Abigail walked 3/10 km and Aiden walked 5/10 km. To find the total distance they walked together, add the two fractions: 3/10 + 5/10 = 8/10 km. The correct answer is 'knp', representing their total distance.