Answer:
[tex] \huge{ \boxed{ \bold{ \tt{2 \: \frac{7}{15} }}}}[/tex]
Step-by-step explanation:
[tex] \tt{5 \frac{4}{5} - 3 \frac{1}{3} }[/tex]
Convert the mixed number into improper fraction
[tex] \tt{↦ \: \frac{5 \times 5 + 4}{5} - \frac{3 \times 3 + 1}{3} }[/tex]
[tex] \tt{↦ \: \frac{25 + 4}{5} - \frac{9 + 1}{3}} [/tex]
[tex] \tt{ ↦ \: \frac{29}{5} - \frac{10}{3} }[/tex]
While performing the addition or subtraction of unlike fractions , you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction. Now,
Take the L.C.M of 5 and 3
prime factors of 5 = 1 × 5
prime factors of 3 = 1 × 3
L.C.M = Common factors × Remaining factors
= 1 × 5 × 3
= 15
[tex] \tt{↦ \frac{29 \times (15 \div 5)}{15} - \frac{10 \times (15 \div 3)}{15} }[/tex]
[tex] \tt{↦ \: \frac{29 \times 3}{15} - \frac{10 \times \: 3 }{15} }[/tex]
[tex] \tt{↦ \: \frac{87}{15} - \frac{30}{15}} [/tex]
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \tt{ ↦ \: \frac{87 - 30}{15} }[/tex]
[tex] \tt{↦ \: \frac{37}{15} }[/tex]
Convert the improper fraction into mixed fraction.
[tex] \tt{↦ \boxed{ \tt{ 2 \frac{7}{15} }}}[/tex]
And we're done!
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
