Lesson Worksheet: Adding Mixed Numbers: Denominators Are Multiples Mathematics • 5th Grade

In this worksheet, we will practice adding two mixed numbers whose denominators are multiples of the same number by either partitioning the numbers or converting them to improper fractions.

Q1:

If a man bought 1 kg of apples for 814pounds and 1 kg of oranges for 412pounds, how much did he pay in total?

  • A1234pounds
  • B412pounds
  • C334pounds
  • D414pounds

Q2:

The weights of 3 boxes are 119 kg, 213 kg, and 29 kg. What is the total weight of the boxes?

  • A613 kg
  • B323 kg
  • C1021 kg
  • D1921 kg

Q3:

Find 112+234.

  • A123
  • B414
  • C323
  • D314
  • E423

Q4:

Calculate 123+216.

  • A313
  • B456
  • C113
  • D413
  • E356

Q5:

Daniel used equivalent fractions to calculate two mixed numbers as follows: 515+3310=5210+3310=8510=812.

Using the same way, find 312+414.

  • A113
  • B713
  • C813
  • D834
  • E734

Q6:

Fill in the blank: 114+=912.

  • A812
  • B914
  • C1034
  • D714
  • E814

Q7:

Complete the following using >, =, or <: 512+314634+212.

  • A<
  • B>
  • C=

Q8:

Which of the following expressions is equal to 213+56?

  • A146+56
  • B216+56
  • C76+56
  • D36+56
  • E106+56

What is the result of 213+56?

  • A313
  • B323
  • C413
  • D223
  • E316

Q9:

Olivia made a cake. She used 112 cups of sugar and 234 cups of flour.

What is the total number of cups of sugar and flour that she used?

  • A412 cups
  • B312 cups
  • C414 cups
  • D514 cups
  • E314 cups

Q10:

A teacher asks two students what the sum of 3512 and 416 is. Jennifer says that the answer is 7712, while Jackson says that the answer is 712.

Who is correct?

  • AJennifer
  • BJackson

Q11:

True or False: 314+12=334.

  • AFalse
  • BTrue

Q12:

A person bought 3 and a quarter kilograms of green beans and 4 and a half kilograms of potatoes. How many kilograms did he carry?

Q13:

A man needs some cloth to make two shirts. The first shirt needs two and a half meters of cloth and the second shirt needs two and a quarter meters. Given that the man has one metre of cloth already, how much more cloth does he need to buy?

Q14:

Calculate 113+1712.

  • A21112
  • B3
  • C223
  • D3112
  • E2912

Q15:

Find the missing denominator in the following: 11+1115=2615.

Q16:

To find 146+11112, add the whole numbers first and then the fractions. Give your answer as a mixed number in simplest form.

  • A21912
  • B3712
  • C21518
  • D4312
  • E31512

Q17:

Fill in the blank with <, >, or =: 234+2185.

  • A>
  • B<
  • C=

Q18:

Add the whole numbers first and then the fractions to solve 114+218+114. Give your answer as a mixed number.

  • A4316
  • B356
  • C338
  • D458
  • E438

Q19:

Find the missing mixed number in 123+=256.

  • A236
  • B113
  • C136
  • D116
  • E213

Q20:

Convert 216 and 323 to improper fractions to find the sum. Write your answer as an improper fraction.

  • A353
  • B346
  • C343
  • D356
  • E556

Q21:

To find 1110+2120, Jacob adds the whole numbers first, 1+2=3, and then he adds the the fractions, 110+120=210+120=320.

So, 1110+2120=3320.

Use the same method to find 112+214.

  • A326
  • B154
  • C334
  • D324
  • E234

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