simplify -2 3/5 - 6 2/7
To simplify -2 3/5 - 6 2/7, you need to find the common denominator for the fractions.
The common denominator for 5 and 7 is 35.
Now let's convert -2 3/5 and -6 2/7 into improper fractions:
-2 3/5 = -2*5 + 3/5 = -10/5 + 3/5 = -13/5
-6 2/7 = -6*7 + 2/7 = -42/7 + 2/7 = -40/7
Now you can subtract the fractions:
-13/5 - 40/7 = (-13*7) / (5*7) - 40/7 = -91/35 - 40/7
To subtract these fractions, we need a common denominator of 35:
-91/35 - 40/7 = -91/35 - (40/7)*(5/5) = -91/35 - 200/35 = (-91 - 200) / 35 = -291/35
Therefore, -2 3/5 - 6 2/7 simplifies to -291/35.
what is 5 1/8 as a decimal
To convert the mixed number 5 1/8 to a decimal, you need to convert the fraction 1/8 to its decimal equivalent.
To do this, divide 1 by 8: 1 ÷ 8 = 0.125
Now add this decimal to the whole number 5: 5 + 0.125 = 5.125
Therefore, 5 1/8 as a decimal is 5.125.
To simplify -2 3/5 - 6 2/7, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-2 3/5 = (-2 * 5 + 3) / 5 = (-10 + 3) / 5 = -7/5
-6 2/7 = (-6 * 7 + 2) / 7 = (-42 + 2) / 7 = -40/7
Step 2: Combine the two fractions.
-7/5 - 40/7
Step 3: Find a common denominator.
The least common multiple of 5 and 7 is 35. Multiply the numerator and denominator of the first fraction by 7, and the numerator and denominator of the second fraction by 5.
((-7 * 7) / (5 * 7)) - ((40 * 5) / (7 * 5))
= -49/35 - 200/35
Step 4: Subtract the fractions.
-49/35 - 200/35
= (-49 - 200) / 35
= -249/35
Step 5: Simplify the fraction if possible.
Since -249/35 cannot be simplified any further, the simplified answer is -249/35.