Question

Simplify : 1 1/24 - 1+ 7/36​

Answer 1

To simplify: $\sf 1 \dfrac{1}{24} - 1+ \dfrac{7}{36}$

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$:\implies \sf \dfrac{1 \times 24 + 1}{24} - 1 + \dfrac{7}{36}\\\\\\:\implies \sf \dfrac{24}{24} - 1 + \dfrac{7}{36}\\\\\\:\implies \sf \dfrac{24}{24} - \dfrac{1 \times 24}{1 \times 24} + \dfrac{7}{36}\\\\\\:\implies \sf \dfrac{24 - 24 }{24} + \dfrac{7}{36}\\\\\\:\implies \sf \dfrac{0}{24} + \dfrac{7}{36}\\\\\\:\implies \sf \dfrac{0 \times 36}{24 \times 36} + \dfrac{7\times 24}{36 \times 24}\\\\\\:\implies \sf \dfrac{0}{864}+\dfrac{168}{864}\\\\\\:\implies \sf \dfrac{0+168}{864}$

   

$:\implies \sf \dfrac{\cancel {168}}{\cancel{864}} = \dfrac{\cancel {84}}{\cancel {432}} \\\\\\:\implies \underline{\boxed{\bold{\dfrac{21}{18}}}} \; \bigstar$

$\therefore \underline{\sf{\pink{After \; simplifying \; 1 \dfrac{1}{24} - 1+ \dfrac{7}{36} , the \; answer\;we\;get\;is\;\bold{\dfrac{21}{18}}}}}$