Matematika Testy - Cvičení z matematiky

# Mixed numbers

158=138

## Mixed numbers

A proper fraction is a fraction with the numerator (top number) less than the denominator (bottom number), e.g. \$1/3 \;;\; 3/4 \;;\; 5/7 \;;\; 6/7\$. It is always less than 1.

An improper fraction is a fraction with the numerator larger than (or equal to) the denominator, e.g. \$7/6 \;;\; 8/4 \;;\; 3/3 \;;\; 8/7 \;;\; 34/9\$. It is always greater than or equal to 1.

A mixed number is a whole number and a proper fraction combined. Thus, it is always greater than 1.

Each improper fraction can also be expressed as a mixed number.

How to convert an improper fraction to a mixed number.

\$\$15/7\$\$

To convert \$15/7\$ into a mixed number, we need to find out how many times 7 can fit into 15. For this divide the numerator by the denominator:
\$15÷7=2\$ with remainder 1 (\$15=2×7+1\$).
2 will be used as the whole number of mixed number and 1 will be the numerator above the denominator.

\$\$15/7=2{1/7}\$\$

How to convert a mixed number into a fraction:

\$\$5{3/4}=?\$\$

Multiply the whole number by the denominator:

\$\$5×4=20\$\$
Add 20 to the numerator:
\$\$20+3=23\$\$
Write 23 over the denominator
\$\$5{3/4}=23/4\$\$

A mixed number can be also written as: 158 ; 334.