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What do you add to 5 4/7 to make 7?

1 Answer

Nov 8, 2016

$1 \frac{3}{7}$ $1 3/7$

Explanation:

Converting both $5 \frac{4}{7}$ $5 4/7$ and $7$ $7$ to improper fractions with a denominator of $7$ $7$
$XXX 5 \frac{4}{7} \to \frac{39}{7}$ $color(white)("XXX")5 4/7 rarr 39/7$
$XXX 7 \to \frac{49}{7}$ $color(white)("XXX")7 rarr 49/7$

We are being asked for the value of $x$ $x$ such that
$XXX \frac{39}{7} + x = \frac{49}{7}$ $color(white)("XXX")39/7+x=49/7$

subtracting $\frac{39}{7}$ $39/7$ from both sides
$XXX x = \frac{10}{7}$ $color(white)("XXX")x=10/7$

or as a mixed fraction $x = 1 \frac{3}{7}$ $x= 1 3/7$

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