Complete the equation.
1 3/5 – 5/7 = 56 – 25 = __
Complete the equation. 1 3/5 – 5/7 = 56 – 25 = __
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Complete the equation.
1 3/5 – 5/7 = 56 – 25 = __
To complete the equation, we need to perform the calculations step-by-step.
1. Convert the mixed number (1 frac{3}{5}) to an improper fraction:
[
1 frac{3}{5} = frac{5 times 1 + 3}{5} = frac{5 + 3}{5} = frac{8}{5}
]
2. Now, we need to subtract ( frac{5}{7} ) from ( frac{8}{5} ). To do this, we need a common denominator. The least common multiple of 5 and 7 is 35. So we convert both fractions:
– For ( frac{8}{5} ):
[
frac{8}{5} = frac{8 times 7}{5 times 7} = frac{56}{35}
]
– For ( frac{5}{7} ):
[
frac{5}{7} = frac{5 times 5}{7 times 5} = frac{25}{35}
]
3. Now we can subtract:
[
frac{56}{35} – frac{25}{35} = frac{56 – 25}{35} = frac{31}{35}
]
4. Next, let