Step-by-step Solution
1. To find the total distance Jasmine travels on her way to school, we need to add the distances she travels by bus and by car.
Distance by bus: \( 6 \frac{3}{8} \) kilometers
Distance by car: \( 5 \frac{2}{5} \) kilometers
Total distance = Distance by bus + Distance by car
Let's calculate the total distance.
Calculate the value by following steps:
- step0: Calculate:
\(6\frac{3}{8}+5\frac{2}{5}\)
- step1: Convert the expressions:
\(\frac{51}{8}+\frac{27}{5}\)
- step2: Reduce fractions to a common denominator:
\(\frac{51\times 5}{8\times 5}+\frac{27\times 8}{5\times 8}\)
- step3: Calculate:
\(\frac{255}{40}+\frac{216}{40}\)
- step4: Transform the expression:
\(\frac{255+216}{40}\)
- step5: Add the numbers:
\(\frac{471}{40}\)
The total distance Jasmine travels on her way to school is \( 11 \frac{31}{40} \) kilometers.
2. To find the total meters of cloth used by the tricilor, we need to add the meters of cloth used for the pair of pants and the skirt.
Meters of cloth for pants: \( 2 \frac{3}{4} \) meters
Meters of cloth for skirt: \( 1 \frac{9}{10} \) meters
Total meters of cloth = Meters of cloth for pants + Meters of cloth for skirt
Let's calculate the total meters of cloth.
Calculate the value by following steps:
- step0: Calculate:
\(2\frac{3}{4}+1\frac{9}{10}\)
- step1: Convert the expressions:
\(\frac{11}{4}+\frac{19}{10}\)
- step2: Reduce fractions to a common denominator:
\(\frac{11\times 5}{4\times 5}+\frac{19\times 2}{10\times 2}\)
- step3: Calculate:
\(\frac{55}{20}+\frac{38}{20}\)
- step4: Transform the expression:
\(\frac{55+38}{20}\)
- step5: Add the numbers:
\(\frac{93}{20}\)
The total meters of cloth used by the tricilor is \( 4 \frac{13}{20} \) meters.
3. To find the total kilograms of meat Catherine has in her refrigerator, we need to add the kilograms of beef and chicken.
Kilograms of beef: \( 1 \frac{1}{3} \) kilograms
Kilograms of chicken: \( 5 \frac{1}{2} \) kilograms
Total kilograms of meat = Kilograms of beef + Kilograms of chicken
Let's calculate the total kilograms of meat.
Calculate the value by following steps:
- step0: Calculate:
\(1\frac{1}{3}+5\frac{1}{2}\)
- step1: Convert the expressions:
\(\frac{4}{3}+\frac{11}{2}\)
- step2: Reduce fractions to a common denominator:
\(\frac{4\times 2}{3\times 2}+\frac{11\times 3}{2\times 3}\)
- step3: Calculate:
\(\frac{8}{6}+\frac{33}{6}\)
- step4: Transform the expression:
\(\frac{8+33}{6}\)
- step5: Add the numbers:
\(\frac{41}{6}\)
The total kilograms of meat Catherine has in her refrigerator is \( 6 \frac{5}{6} \) kilograms.
4. To find the total kilometers Mikka and Rose travel together, we need to add the distances Mikka and Rose travel.
Distance Mikka travels: \( 1 \frac{1}{2} \) kilometers
Distance Rose travels: \( \frac{1}{2} \) km more than the distance covered by Mikka
Total distance = Distance Mikka travels + Distance Rose travels
Let's calculate the total distance.
Calculate the value by following steps:
- step0: Calculate:
\(1\frac{1}{2}+\left(1\frac{1}{2}+\frac{1}{2}\right)\)
- step1: Convert the expressions:
\(1\frac{1}{2}+\left(\frac{3}{2}+\frac{1}{2}\right)\)
- step2: Add the terms:
\(1\frac{1}{2}+2\)
- step3: Convert the expressions:
\(\frac{3}{2}+2\)
- step4: Reduce fractions to a common denominator:
\(\frac{3}{2}+\frac{2\times 2}{2}\)
- step5: Calculate:
\(\frac{3}{2}+\frac{4}{2}\)
- step6: Transform the expression:
\(\frac{3+4}{2}\)
- step7: Add the numbers:
\(\frac{7}{2}\)
The total kilometers Mikka and Rose travel together is \( 3 \frac{1}{2} \) kilometers.
5. To find the total glasses of orange juice Maylene made on Tuesday and Wednesday, we need to add the glasses of orange juice made on each day.
Glasses of orange juice on Tuesday: \( 3 \frac{4}{5} \) glasses
Glasses of orange juice on Wednesday: \( 1 \frac{1}{2} \) glasses
Total glasses of orange juice = Glasses of orange juice on Tuesday + Glasses of orange juice on Wednesday
Let's calculate the total glasses of orange juice.
Calculate the value by following steps:
- step0: Calculate:
\(3\frac{4}{5}+1\frac{1}{2}\)
- step1: Convert the expressions:
\(\frac{19}{5}+\frac{3}{2}\)
- step2: Reduce fractions to a common denominator:
\(\frac{19\times 2}{5\times 2}+\frac{3\times 5}{2\times 5}\)
- step3: Calculate:
\(\frac{38}{10}+\frac{15}{10}\)
- step4: Transform the expression:
\(\frac{38+15}{10}\)
- step5: Add the numbers:
\(\frac{53}{10}\)
The total glasses of orange juice Maylene made on Tuesday and Wednesday is \( 5 \frac{3}{10} \) glasses.
Quick Answer
1. Jasmine travels \( 11 \frac{31}{40} \) kilometers to school.
2. The tricilor used \( 4 \frac{13}{20} \) meters of cloth.
3. Catherine has \( 6 \frac{5}{6} \) kilograms of meat in her refrigerator.
4. Mikka and Rose travel \( 3 \frac{1}{2} \) kilometers together.
5. Maylene made \( 5 \frac{3}{10} \) glasses of orange juice in two days.
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