Problem 43 Convert to a mixed numeral. $$... [FREE SOLUTION] (2024)

Short Answer

Fractions

A fraction represents a part of a whole. It consists of two numbers: the numerator and the denominator.
The numerator is the top number, and it indicates how many parts we have.
The denominator is the bottom number, and it tells us how many parts the whole is divided into.
For example, in the fraction \(\frac{45}{6}\), 45 is the numerator and 6 is the denominator.
This fraction means we have 45 parts, and each part is one-sixth of the whole.
Fractions can be simplified or converted into different forms, such as mixed numerals.

Division

Division is one of the basic arithmetic operations.
When we divide, we are essentially finding out how many times one number can fit into another.
For the given fraction \(\frac{45}{6}\), we divide 45 by 6.
The division tells us how many whole times 6 fits into 45.
This step is crucial to converting a fraction into a mixed numeral.
In our example, dividing 45 by 6 helps to identify the whole number part of our mixed numeral.

Remainder

A remainder is what is left over after performing division.
When 45 is divided by 6, it does not fit perfectly.
45 divided by 6 equals 7 with a remainder of 3 since 6 times 7 is 42, and 45 minus 42 is 3.
This remainder is crucial for forming the fractional part of a mixed numeral.
In our given problem, 3 becomes the numerator of the fractional part of the mixed numeral.

Whole Numbers

Whole numbers are numbers without fractions or decimals.
They are important when converting improper fractions to mixed numerals.
In our example, when we divide 45 by 6, we get 7, which is a whole number.
This whole number represents how many full groups of 6 are in 45.
So, in the mixed numeral \(7\frac{3}{6}\), 7 is the whole number part.