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What is $4$ $4$ $\frac{3}{10}$ $3/10$ $-$ $-$ $3$ $3$ $\frac{3}{5}$ $3/5$ ?

1 Answer

Mar 8, 2018

$\frac{7}{10}$ $7/10$

Explanation:

$4 \frac{3}{10}$ $4 3/10$ can be written as an improper fraction
$XXX \frac{4 \times 10 + 3}{10} = \frac{43}{10}$ $color(white)("XXX")(4xx10+3)/10=43/10$

$3 \frac{3}{5}$ $3 3/5$ can be written as an improper fraction
$XXX \frac{3 \times 5 + 3}{5} = (\frac{18}{5})$ $color(white)("XXX")(3xx5+3)/5=(18/5)$

$\frac{18}{5}$ $18/5$ can be written with a denominator of $10$ $10$ to match the $4 \frac{3}{10} = \frac{43}{10}$ $4 3/10=43/10$ term
$XXX \frac{18 \times 2}{5 \times 2} = \frac{36}{10}$ $color(white)("XXX")(18xx2)/(5xx2)=36/10$

Therefore
$XXX 4 \frac{3}{10} - 3 \frac{3}{5}$ $color(white)("XXX")4 3/10 - 3 3/5$
is equivalent to
$XXX \frac{43}{10} - \frac{36}{10}$ $color(white)("XXX")43/10 - 36/10$

$XXX = \frac{7}{10}$ $color(white)("XXX")=7/10$

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