Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade5

Easy

Question

Diana is preparing for her year-end exam. She studied $9 over 22$ hours on Tuesday and $5 over 11$ hours on Monday. The number of hours she studied in two days is ___________.

$\frac{14}{33}$
$\frac{19}{22}$
$\frac{8}{21}$
$\frac{6}{11}$

hint Hint:

This can be found by adding both the fraction and for that we have to make denominator same, this can be done by taking LCM. LCM is the least common multiple of two integers. We will use the prime factorization method to find the LCM. In prime factorization method the simply put the factor of each number and then for LCM we take product of factors by considering the repeated factors only one time with highest exponent.

The correct answer is: $19 over 22$

Step1: First we will write all the fractions and then we will write the denominator and then we will use prime factorization method to add the fraction.
Fractions are: $5 over 11$ and $9 over 22$ .
In this question the denominators are $11$ and $22$ .
Factors of $11$ are: $11 to the power of 1$
Factors of $22$ are: $2 to the power of 1 cross times 11 to the power of 1$
Step2: For calculating the LCM we will multiply the factors by considering the common factors only one time with the highest exponent.
In this case the factor $11$ is common in both $11$ and $22$ so we will multiply it only once with the highest exponent
LCM ( $11$ , $22$ ) = $2 to the power of 1 cross times 11 to the power of 1$
LCM ( $11$ , $22$ ) = $22$
Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then add them
So, $22 over 11 equals 2$
and $22 over 22 equals 1$
So, we will multiply the numerator of $11$ by $2$ and numerator of $22$ by $1$ .
$fraction numerator 5 cross times 2 plus 9 cross times 1 over denominator 22 end fraction equals 19 over 22$
So, She studied a total of $19 over 22$ hours in two days

Related Questions to study

Kate ate 1/3 part of the ice-cream and her sister ate 1/2 of the ice-cream. The fraction of the ice-cream was eaten by both sisters is__________.

Kate ate 1/3 part of the ice-cream and her sister ate 1/2 of the ice-cream. The fraction of the ice-cream was eaten by both sisters is__________.

MathematicsGrade5

On Wednesday John read 5/16 of the book. On Saturday, he reads 4/8 of the book. The fraction of the book has John read on Wednesday and Saturday is___.

On Wednesday John read 5/16 of the book. On Saturday, he reads 4/8 of the book. The fraction of the book has John read on Wednesday and Saturday is___.

MathematicsGrade5

Kevin ran $2 over 5$ mile on Monday, and $2 over 3$ mile on Tuesday. He run ________ miles altogether.

Kevin ran $2 over 5$ mile on Monday, and $2 over 3$ mile on Tuesday. He run ________ miles altogether.

MathematicsGrade5

parallel

Subtract $2 over 3 space minus space 3 over 8$ .

Subtract $2 over 3 space minus space 3 over 8$ .

MathematicsGrade5

A recipe needs $3 over 5$ teaspoon black pepper and $2 over 7$ red pepper. _____more black pepper is needed than red pepper for this recipe.

A recipe needs $3 over 5$ teaspoon black pepper and $2 over 7$ red pepper. _____more black pepper is needed than red pepper for this recipe.

MathematicsGrade5

Add $1 over 6 space plus space 6 over 11$ .

Add $1 over 6 space plus space 6 over 11$ .

MathematicsGrade5

parallel

Subtract $2 over 3 space minus space 1 over 6$ .

Subtract $2 over 3 space minus space 1 over 6$ .

MathematicsGrade5

Angela's team practiced soccer for $1 third$ of an hour on Wednesday, and for $3 over 5$ of an hour on Friday. The total number of hours the team spent practicing soccer is _________.

Angela's team practiced soccer for $1 third$ of an hour on Wednesday, and for $3 over 5$ of an hour on Friday. The total number of hours the team spent practicing soccer is _________.

MathematicsGrade5

Subtract $4 over 6 space minus space 4 over 8$ .

Subtract $4 over 6 space minus space 4 over 8$ .

MathematicsGrade5

parallel

Brian's team practiced soccer for $2 over 3$ of an hour on Wednesday, and for $5 over 6$ of an hour on Friday. His team practiced _________hours for soccer altogether.

Brian's team practiced soccer for $2 over 3$ of an hour on Wednesday, and for $5 over 6$ of an hour on Friday. His team practiced _________hours for soccer altogether.

MathematicsGrade5

Add $2 over 12 space and space 2 over 4$ .

Add $2 over 12 space and space 2 over 4$ .

MathematicsGrade5

Kevin ate $1 fourth$ of a pie. Michael ate $1 half$ of a pie. Find the amount of pie Kevin ate more than Michael.

Kevin ate $1 fourth$ of a pie. Michael ate $1 half$ of a pie. Find the amount of pie Kevin ate more than Michael.

MathematicsGrade5

parallel

Add $4 over 10 space and space 4 over 5$ .

Add $4 over 10 space and space 4 over 5$ .

MathematicsGrade5

Kevin ran $2 over 3$ mile on Monday, and $1 fifth$ mile on Tuesday. He did run _________miles altogether

Kevin ran $2 over 3$ mile on Monday, and $1 fifth$ mile on Tuesday. He did run _________miles altogether

MathematicsGrade5

Charles ate $2 over 3$ of the plum cake in the morning and $1 half$ of the cream cake in the evening. Find the amount of cake he ate in all.

Charles ate $2 over 3$ of the plum cake in the morning and $1 half$ of the cream cake in the evening. Find the amount of cake he ate in all.

MathematicsGrade5

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.