Question

what number should be subtracted from 3 integer 1/4 to get 1 integer 5/7?

Answer 1

Let the number be x.

$3\dfrac{1}{4} - x = 1 \dfrac{5}{7}$

$x = 3\dfrac{1}{4} - 1 \dfrac{5}{7}$

$x = 3\dfrac{1 \times 7}{4 \times 7} - 1 \dfrac{5 \times 4}{7 \times 4}$

$x = 3\dfrac{7}{28} - 1 \dfrac{20}{28}$

$x = 2\dfrac{35}{28} - 1 \dfrac{20}{28}$

$x = 1\dfrac{15}{28}$

$\boxed {\text {Answer: } 1\dfrac{15}{28} }$

--------------------------------- Added based on comments later ----------------------

Let the number be x.

$3\dfrac{1}{2} - x = 1 \dfrac{5}{7}$

$x = 3\dfrac{1}{2} - 1 \dfrac{5}{7}$

$x = 3\dfrac{1 \times 7}{2 \times 7} - 1 \dfrac{5 \times 2}{7 \times 2}$

$x = 3\dfrac{7}{14} - 1 \dfrac{10}{14}$

$x = 2\dfrac{21}{14} - 1 \dfrac{10}{14}$

$x = 1\dfrac{11}{14}$

$\boxed {\text {Answer: } 1\dfrac{11}{14} }$