What is 56 1/4 as a fraction in simplest form?
1 answer:
We have to simplify %
This is a mixed fraction, with 56 as the whole number part and as the fractional part
Such a fraction can be simplified as:
Denominator of simplified fraction = Denominator of mixed fraction
and Numerator of simplified fraction = (Denominator of mixed fraction × Whole number) + (Numerator of simplified fraction)
⇒ Denominator of simplified fraction = 4
and Numerator of simplified fraction = (4 × 56) + (1)
⇒ Numerator of simplified fraction = 225
Hence, the mixed fraction in its simplest form is
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In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that
thus
Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that
thus
Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10
since the graph has direct variation as data in x axis increases y also increases.
so we need to find how many miles travelled per galloon .
we distance travelled per gallon =total distance travelled/galoons of fuel used.
for part b) slope=rise/run
slope of the graph is 2