Question

51 is 33 1/3 of what number?

Answer 1

Answer:

$\boxed{\frac{153}{100}\:\:Or\:\:1.53}$

Step-by-step explanation:

Let the number be $n$.

Then,

$33\frac{1}{3} \tmes n=51$

This implies that;

$\frac{100}{3} n=51$

We multiply both sides by $\frac{3}{100}$ to obtain;

$\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51$

$\Rightarrow n=\frac{3}{100} \times 51$

$\Rightarrow n=\frac{153}{100}$

Or

$\Rightarrow n=1.53$

Answer 2

51 is 33¹/₃ of 1.53

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

$\texttt{ }$

Given:

51 is 33¹/₃ of what number ?

Solution:

Let : the number = x , then:

$51 = 33\frac{1}{3} x$

$51 = \frac{33 \times 3 + 1}{3} x$

$51 = \frac{99 + 1}{3} x$

$51 = \frac{100}{3} x$

$\frac{3}{100} \times 51 = \frac{3}{100} \times \frac{100}{3} x$

$\frac{3 \times 51}{100} = \frac{300}{300} x$

$x = \frac{153}{100}$

$x = 1.53$

$\texttt{ }$

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces , Number , 51 , 33 , 1/3