Solution for the question - compare using =, >, or '/><>=

Name: Compare using =, >, or -Turito
Uploaded: 2022-05-27T10:41:40.000Z
Description: Solution for the question - compare using =, >, or '/><>=

Mathematics

Grade-3-

Easy

Question

Compare using =, >, or <: $1 half$ ___ $2 over 3$ .

=
>
<
$\leq$

hint Hint:

For calculating the order of fraction first we need to see the denominator, if the denominator is not same then we have to make denominator same by taking the LCM and then multiplying the fraction with some number to make the denominator same. If the denominator is same, then we have to compare the numerator to check the order.

The correct answer is: <

English

Step1: The denominator of fractions are not equal so, we have to take LCM of the denominators take make them same and then compare the fractions.
Step2: Now we have to take the LCM of the denominators. Denominators are $2$ and $3$ .
We will use the prime factorization method to find LCM.
factors of $2$ are: $2 to the power of 1$ .
factors of $3$ are: $3 to the power of 1$ .
Step3: Since there are no common factors we will multiply all the factors.
LCM( $2 comma 3$ ) = $2 cross times 3$
LCM( $2 comma 3$ ) = $6$
Step4: Now we will make the denominator same
$6 over 2 equals 3$
$6 over 3 equals 2$
We will multiply the numerator of $2$ by $3$ and $3$ by $2$ .
So the fractions become $3 over 6$ and $4 over 6$ .
Step5: The denominators are same then we need to compare the numerator only.
Since $3 less than 4$ then $3 over 6 less than 4 over 6$ and this is true then $1 half less than 2 over 3$

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Compare using =, >, or <: $1 half$ ___ $2 over 3$ .

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