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Fraction Word Problems: Addition and Subtraction>
Fraction Word Problems: Addition and Subtraction 4Fraction Word Problems: Addition and Subtraction 4
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Question 1 of 4
1. Question
At a federal court, a jury was deciding whether a person accused was guilty or not. 23 believed the accused was guilty, 16 believed he was not guilty while the rest were undecided. What fraction of the jury were undecided?Write fractions in the format “a/b”- (1/6)
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Add fractions with unlike denominators by transforming the fractions so that they have like denominatorsFirst, list down the values stated in the problemBelieves accused is guilty = 23 Believes accused is not guilty = 16 Add the two fractions.Since 6 is a multiple of 3, 6 is the LCD23+16 = 2×23×2+16 Multiply by 2 so that the denominator becomes 6 = 46+16 Add the numerators = 56 Keep the same denominator Finally, subtract this fraction from 1. Here, 1 represents the whole jury1−56 = 66−56 Subtract the numerators = 16 Keep the same denominator 16 of the jury were undecided.16 -
Question 2 of 4
2. Question
Jack likes to run to stay fit. He runs 312km on Sunday, 214km on Monday, and 423km on Wednesday. How far does Jack run over those 3 days?- 1.
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Transforming an Improper to Mixed Fraction
bc=QRc(b÷c)=Q and R is the remainderA mixed number consists of a whole number and a fraction.First, list down the values stated in the problemSunday = 312km Monday = 214km Wednesday = 423km Add these 3 fractions to get the total distance that Jack ran.First, add the whole numbers3+2+4 = 9 Now add the fractionsStart by finding the LCD of 2, 4 and 3Multiples of 2:246810121416Multiples of 4:48121620Multiples of 3:369121518The LCD of 2, 4 and 3 is 12Use the LCD as the denominator for the three fractions then add them.12+14+23 = 1×62×6+1×34×3+2×43×4 Multiply the fractions so that the denominator becomes 12 = 612+312+812 Add only the numerators = 1712 Keep the same denominator Transform the fraction back to a mixed fractionStart by dividing the numerator by the denominatorArrange the numbers for long division12 goes into 17 once. So write 1 above the line.Multiply 1 to 12 and write the answer below 17Subtract 12 from 17 and write the answer one line belowSince 12 cannot go into 5 anymore, 5 is left as the Remainder and 1 is the QuotientSubstitute values into the given formulabc = QRc 1712 = 1512 Finally, add the two sums (whole number and mixed fraction).9+1512 = 10512km 10512km -
Question 3 of 4
3. Question
From a 1012m roll of fabric, 214m is cut. How much fabric remains?-
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Transforming an Improper to Mixed Fraction
bc=QRc(b÷c)=Q and R is the remainderTransforming a Fraction from Mixed to Improper
= (c×A)+bc First, list down the values stated in the problemTotal length of fabric = 1012 Fabric that was cut = 234 Subtract the two fractions to get the remaining length of fabricFirst, transform the mixed fractions to improper fractions1012−234 = (2×10)+12−(4×2)+34 = 20+12−8+34 = 212−114 Make sure that the fractions have the same denominators before subtractingSince 4 is a multiple of 2, 4 is the LCD212−114 = 21×22×2−114 Multiply by 2 so that the denominator becomes 4 = 424−114 Subtract the numerators = 314 Keep the same denominator Transform the fraction back to a mixed fractionStart by dividing the numerator by the denominatorArrange the numbers for long division4 goes into 31 seven times. So write 7 above the line.Multiply 7 to 4 and write the answer below 31Subtract 28 from 31 and write the answer one line belowSince 4 cannot go into 3 anymore, 3 is left as the Remainder and 7 is the QuotientSubstitute values into the given formulabc = QRc 314 = 734 734m -
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Question 4 of 4
4. Question
A cake needs 23 cup of sugar, 112 cups of cocoa, 34 cup of butter and 312 cups of flour. How many cups of ingredients are needed in total?-
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Transforming an Improper to Mixed Fraction
bc=QRc(b÷c)=Q and R is the remainderA mixed number consists of a whole number and a fraction.First, list down the values stated in the problemSugar = 23 Cocoa = 112 Butter = 34 Flour = 312 First, add the whole numbers3+1 = 4 Next, notice that the cocoa and the flour both have 12 cup worth of ingredient.These two halves can be added together to get a sum of 1.12+12 = 1 Now add the fractionsSince 3 and 4 are both multiples of 12, 12 is the LCD23+34 = 2×4+3×312 Cross multiply the fractions to get the new numerators = 8+912 Add the numerators = 1712 Keep the same denominator Transform the fraction back to a mixed fractionStart by dividing the numerator by the denominatorArrange the numbers for long division17 goes into 12 once. So write 1 above the line.Multiply 1 to 12 and write the answer below 17Subtract 12 from 17 and write the answer one line belowSince 5 cannot go into 12 anymore, 5 is left as the Remainder and 1 is the QuotientSubstitute values into the given formulabc = QRc 1712 = 1512 Finally, add the sums of the values(whole number and mixed fraction).4+1+1512 = 6512 6512 -
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Quizzes
- Shaded Fractions 1
- Shaded Fractions 2
- Equivalent Fractions 1
- Equivalent Fractions 2
- Equivalent Fractions 3
- Equivalent Fractions 4
- Simplify Fractions 1
- Simplify Fractions 2
- Simplify Fractions 3
- Find the Lowest Common Denominator
- Comparing Fractions 1
- Comparing Fractions 2
- Comparing Fractions 3
- Mixed and Improper Fractions 1
- Mixed and Improper Fractions 2
- Mixed and Improper Fractions 3
- Add and Subtract Fractions 1
- Add and Subtract Fractions 2
- Add and Subtract Fractions 3
- Add and Subtract Fractions 4
- Multiply and Divide Fractions 1
- Multiply and Divide Fractions 2
- Multiply and Divide Fractions 3
- Add and Subtract Mixed Numbers 1
- Add and Subtract Mixed Numbers 2
- Add and Subtract Mixed Numbers 3
- Multiply and Divide Mixed Numbers 1
- Multiply and Divide Mixed Numbers 2
- Multiply and Divide Mixed Numbers 3
- Multiply and Divide Mixed Numbers 4
- Fraction Word Problems: Addition and Subtraction 1
- Fraction Word Problems: Addition and Subtraction 2
- Fraction Word Problems: Addition and Subtraction 3
- Fraction Word Problems: Addition and Subtraction 4
- Fraction Word Problems: Multiplication and Division
- Find the Fraction of a Quantity
- Find the Quantity of a Quantity 1
- Find the Quantity of a Quantity 2
- Find the Fraction of a Quantity: Word Problems 1
- Find the Fraction of a Quantity: Word Problems 2
- Find the Fraction of a Quantity: Word Problems 3
- Find the Fraction of a Quantity: Word Problems 4
- Find the Quantity of a Quantity: Word Problems
- Order of Operations Involving Fractions 1
- Order of Operations Involving Fractions 2