Math, asked by riyakumar8051, 3 months ago

(10/3) > (33/10) true or false​

Answers

Answered by prabinkumarbehera
2

Answer:

FALSE

Step-by-step explanation:

(10/3) > (33/10)

=> (3.3) > (3.3) { NOT POSSIBLE AS 3.3 = 3.3 }

HENCE, THE ANSWER WILL BE FALSE AS 3.3 = 3.3

PLEASE MARK ME AS BRAINLIEST IF YOU LIKE MY ANSWER!!!

Answered by meenu12769
1

Answer:

10/3 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

10 = 2 × 5;

3 is a prime number;

33/10 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

33 = 3 × 11;

10 = 2 × 5;

LCM will be the common denominator of the compared fractions.

In this case, LCM is also called LCD, the least common denominator.

The prime factorization of the denominators:

3 is a prime number

10 = 2 × 5

Multiply all the unique prime factors, by the largest exponents:

LCM (3, 10) = 2 × 3 × 5 = 30

Calculate the expanding number of each fraction

Divide LCM by the denominator of each fraction:

For fraction: 10/3 is 30 ÷ 3 = (2 × 3 × 5) ÷ 3 = 10

For fraction: 33/10 is 30 ÷ 10 = (2 × 3 × 5) ÷ (2 × 5) = 3

Expand the fractions

Build up all the fractions to the same denominator (which is LCM).

Multiply the numerators and denominators by their expanding number:

10/3 = (10 × 10)/(10 × 3) = 100/30

33/10 = (3 × 33)/(3 × 10) = 99/30

The fractions have the same denominator, compare their numerators.

The larger the numerator the larger the positive fraction.

::: Comparing operation :::

The final answer:

The fractions sorted in ascending order:

99/30 < 100/30

The initial fractions in ascending order:

33/10 < 10/3

SO, THE STATEMENT IS FALSE

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